<?xml version="1.0" encoding="utf-8"?>
<!--XBRL document created with Toppan Merrill Bridge  11.4.0.1 -->
<!--Based on XBRL 2.1-->
<!--Created on: 8/11/2026 10:58:02 AM-->
<!--Modified on: 8/11/2026 10:58:02 AM-->
<xsd:schema targetNamespace="http://perceptivelife.com/20260630" attributeFormDefault="unqualified" elementFormDefault="qualified" xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:dei="http://xbrl.sec.gov/dei/2025" xmlns:deprecated="http://www.xbrl.org/2009/role/deprecated" xmlns:dtr="http://www.xbrl.org/2009/dtr" xmlns:ref="http://www.xbrl.org/2006/ref" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xmlns:xl="http://www.xbrl.org/2003/XLink" xmlns:us-gaap="http://fasb.org/us-gaap/2025" xmlns:utr="http://www.xbrl.org/2009/utr" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:enum2="http://xbrl.org/2020/extensible-enumerations-2.0" xmlns:us-roles="http://fasb.org/us-roles/2025" xmlns:net="http://www.xbrl.org/2009/role/net" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:dtr-types="http://www.xbrl.org/dtr/type/2024-01-31" xmlns:xbrldi="http://xbrl.org/2006/xbrldi" xmlns:negated="http://www.xbrl.org/2009/role/negated" xmlns:srt="http://fasb.org/srt/2025" xmlns:attributeFormDefault="unqualified" xmlns:xbrli="http://www.xbrl.org/2003/instance" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:adgm="http://perceptivelife.com/20260630" xmlns:ecd="http://xbrl.sec.gov/ecd/2025" xmlns:ecd-sub="http://xbrl.sec.gov/ecd-sub/2025">
  <xsd:annotation>
    <xsd:appinfo>
      <link:roleType roleURI="http://perceptivelife.com/role/StatementConsolidatedBalanceSheets" id="StatementConsolidatedBalanceSheets">
        <link:definition>995200100 - Statement - Consolidated Balance Sheets</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/StatementConsolidatedStatementsOfOperationsAndComprehensiveLossIncome" id="StatementConsolidatedStatementsOfOperationsAndComprehensiveLossIncome">
        <link:definition>995200200 - Statement - Consolidated Statements of Operations and Comprehensive (Loss) Income</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/StatementConsolidatedStatementsOfCashFlows" id="StatementConsolidatedStatementsOfCashFlows">
        <link:definition>995200400 - Statement - Consolidated Statements of Cash Flows</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureInventoryNetDetails" id="DisclosureInventoryNetDetails">
        <link:definition>99940401 - Disclosure - Inventory, net (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosurePropertyAndEquipmentDetails" id="DisclosurePropertyAndEquipmentDetails">
        <link:definition>99940501 - Disclosure - Property and Equipment (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureGoodwillAndIntangibleAssetsIntangibleAssetsNetDetails" id="DisclosureGoodwillAndIntangibleAssetsIntangibleAssetsNetDetails">
        <link:definition>99940601 - Disclosure - Goodwill and Intangible Assets - Intangible assets, net (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureGoodwillAndIntangibleAssetsIntangibleAssetsNetDetailsCalc2" id="DisclosureGoodwillAndIntangibleAssetsIntangibleAssetsNetDetailsCalc2">
        <link:definition>40601 - Disclosure - Goodwill and Intangible Assets - Intangible assets, net (Details) Calc 2</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureGoodwillAndIntangibleAssetsGoodwillDetails" id="DisclosureGoodwillAndIntangibleAssetsGoodwillDetails">
        <link:definition>99940602 - Disclosure - Goodwill and Intangible Assets - Goodwill (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureAccruedLiabilitiesDetails" id="DisclosureAccruedLiabilitiesDetails">
        <link:definition>99940701 - Disclosure - Accrued Liabilities (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureOperatingLeasesFutureMinimumPaymentsCal2" id="DisclosureOperatingLeasesFutureMinimumPaymentsCal2">
        <link:definition>41002 - Disclosure - Operating Leases - Future minimum payments (Cal 2)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureOperatingLeasesFutureMinimumPaymentsDetails" id="DisclosureOperatingLeasesFutureMinimumPaymentsDetails">
        <link:definition>99941002 - Disclosure - Operating Leases - Future minimum payments (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureStockholdersEquityCommonStockDetails" id="DisclosureStockholdersEquityCommonStockDetails">
        <link:definition>99941202 - Disclosure - Stockholders' Equity - Common Stock (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureLossPerShareLpsDilutedEpsDetails" id="DisclosureLossPerShareLpsDilutedEpsDetails">
        <link:definition>99941403 - Disclosure - Loss Per Share (LPS) - Diluted EPS (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureSegmentReportingDetails" id="DisclosureSegmentReportingDetails">
        <link:definition>99941701 - Disclosure - Segment Reporting (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/StatementConsolidatedBalanceSheetsParenthetical" id="StatementConsolidatedBalanceSheetsParenthetical">
        <link:definition>995200105 - Statement - Consolidated Balance Sheets (Parenthetical)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/StatementConsolidatedStatementsOfConvertiblePreferredStockAndStockholdersEquityDeficit" id="StatementConsolidatedStatementsOfConvertiblePreferredStockAndStockholdersEquityDeficit">
        <link:definition>995200300 - Statement - Consolidated Statements of Convertible Preferred Stock and Stockholders' Equity (Deficit)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureDescriptionOfOrganizationAndBusinessOperations" id="DisclosureDescriptionOfOrganizationAndBusinessOperations">
        <link:definition>995210101 - Disclosure - Description of Organization and Business Operations</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPolicies" id="DisclosureSummaryOfSignificantAccountingPolicies">
        <link:definition>995210201 - Disclosure - Summary of Significant Accounting Policies</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureFairValueMeasurements" id="DisclosureFairValueMeasurements">
        <link:definition>995210301 - Disclosure - Fair Value Measurements</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureInventoryNet" id="DisclosureInventoryNet">
        <link:definition>995210401 - Disclosure - Inventory, net</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosurePropertyAndEquipment" id="DisclosurePropertyAndEquipment">
        <link:definition>995210501 - Disclosure - Property and Equipment</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureAccruedLiabilities" id="DisclosureAccruedLiabilities">
        <link:definition>995210701 - Disclosure - Accrued Liabilities</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureDebt" id="DisclosureDebt">
        <link:definition>995210801 - Disclosure - Debt</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureWarrants" id="DisclosureWarrants">
        <link:definition>995210901 - Disclosure - Warrants</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureOperatingLeases" id="DisclosureOperatingLeases">
        <link:definition>995211001 - Disclosure - Operating Leases</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureCommitmentsAndContingencies" id="DisclosureCommitmentsAndContingencies">
        <link:definition>995211101 - Disclosure - Commitments and Contingencies</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureStockholdersEquity" id="DisclosureStockholdersEquity">
        <link:definition>995211201 - Disclosure - Stockholders' Equity</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureStockBasedCompensation" id="DisclosureStockBasedCompensation">
        <link:definition>995211301 - Disclosure - Stock-Based Compensation</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureLossPerShareLps" id="DisclosureLossPerShareLps">
        <link:definition>995211401 - Disclosure - Loss Per Share (LPS)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureIncomeTaxes" id="DisclosureIncomeTaxes">
        <link:definition>995211501 - Disclosure - Income Taxes</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureRelatedPartyTransactions" id="DisclosureRelatedPartyTransactions">
        <link:definition>995211601 - Disclosure - Related Party Transactions</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureSubsequentEvents" id="DisclosureSubsequentEvents">
        <link:definition>995211801 - Disclosure - Subsequent Events</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesPolicies" id="DisclosureSummaryOfSignificantAccountingPoliciesPolicies">
        <link:definition>99920202 - Disclosure - Summary of Significant Accounting Policies (Policies)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureFairValueMeasurementsTables" id="DisclosureFairValueMeasurementsTables">
        <link:definition>99930303 - Disclosure - Fair Value Measurements (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureInventoryNetTables" id="DisclosureInventoryNetTables">
        <link:definition>99930403 - Disclosure - Inventory, net (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosurePropertyAndEquipmentTables" id="DisclosurePropertyAndEquipmentTables">
        <link:definition>99930503 - Disclosure - Property and Equipment (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureAccruedLiabilitiesTables" id="DisclosureAccruedLiabilitiesTables">
        <link:definition>99930703 - Disclosure - Accrued Liabilities (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureDebtTables" id="DisclosureDebtTables">
        <link:definition>99930803 - Disclosure - Debt (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureOperatingLeasesTables" id="DisclosureOperatingLeasesTables">
        <link:definition>99931003 - Disclosure - Operating Leases (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureStockholdersEquityTables" id="DisclosureStockholdersEquityTables">
        <link:definition>99931203 - Disclosure - Stockholders' Equity (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureStockBasedCompensationTables" id="DisclosureStockBasedCompensationTables">
        <link:definition>99931303 - Disclosure - Stock-Based Compensation (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureLossPerShareLpsTables" id="DisclosureLossPerShareLpsTables">
        <link:definition>99931403 - Disclosure - Loss Per Share (LPS) (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureDescriptionOfOrganizationAndBusinessOperationsLiquidityAndGoingConcernDetails" id="DisclosureDescriptionOfOrganizationAndBusinessOperationsLiquidityAndGoingConcernDetails">
        <link:definition>99940101 - Disclosure - Description of Organization and Business Operations - Liquidity and Going Concern (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesSegmentsDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesSegmentsDetails">
        <link:definition>99940201 - Disclosure - Summary of Significant Accounting Policies - Segments (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesPropertyAndEquipmentDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesPropertyAndEquipmentDetails">
        <link:definition>99940204 - Disclosure - Summary of Significant Accounting Policies - Property and Equipment (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesConcentrationsDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesConcentrationsDetails">
        <link:definition>99940207 - Disclosure - Summary of Significant Accounting Policies - Concentrations (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesIncomeTaxesDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesIncomeTaxesDetails">
        <link:definition>99940210 - Disclosure - Summary of Significant Accounting Policies - Income Taxes (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureFairValueMeasurementsFairValueHierarchyDetails" id="DisclosureFairValueMeasurementsFairValueHierarchyDetails">
        <link:definition>99940301 - Disclosure - Fair Value Measurements - Fair Value Hierarchy (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureFairValueMeasurementsConvertibleSecuritiesNotesSuccessorDetails" id="DisclosureFairValueMeasurementsConvertibleSecuritiesNotesSuccessorDetails">
        <link:definition>99940302 - Disclosure - Fair Value Measurements - Convertible Securities Notes (Successor) (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureFairValueMeasurementsConvertibleSecuritiesNotesValuationInputDetails" id="DisclosureFairValueMeasurementsConvertibleSecuritiesNotesValuationInputDetails">
        <link:definition>99940303 - Disclosure - Fair Value Measurements - Convertible Securities Notes Valuation Input (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureFairValueMeasurementsConvertibleSecuritiesNotesLevel3Details" id="DisclosureFairValueMeasurementsConvertibleSecuritiesNotesLevel3Details">
        <link:definition>99940304 - Disclosure - Fair Value Measurements - Convertible Securities Notes Level 3 (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureFairValueMeasurementsConvertWarrantsDetails" id="DisclosureFairValueMeasurementsConvertWarrantsDetails">
        <link:definition>99940305 - Disclosure - Fair Value Measurements - Convert Warrants (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureFairValueMeasurementsConvertWarrantValuationInputsDetails" id="DisclosureFairValueMeasurementsConvertWarrantValuationInputsDetails">
        <link:definition>99940306 - Disclosure - Fair Value Measurements - Convert Warrant Valuation Inputs (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureFairValueMeasurementsConvertWarrantLevel3Details" id="DisclosureFairValueMeasurementsConvertWarrantLevel3Details">
        <link:definition>99940307 - Disclosure - Fair Value Measurements - Convert Warrant Level 3 (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureDebtScheduleOfDebtDetails" id="DisclosureDebtScheduleOfDebtDetails">
        <link:definition>99940801 - Disclosure - Debt - Schedule of debt (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureDebtConvertibleSecuritiesNotesDetails" id="DisclosureDebtConvertibleSecuritiesNotesDetails">
        <link:definition>99940810 - Disclosure - Debt - Convertible Securities Notes (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureWarrantsConvertWarrantsDetails" id="DisclosureWarrantsConvertWarrantsDetails">
        <link:definition>99940901 - Disclosure - Warrants - Convert Warrants (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureWarrantsPipeBaseWarrantsDetails" id="DisclosureWarrantsPipeBaseWarrantsDetails">
        <link:definition>99940902 - Disclosure - Warrants - PIPE Base Warrants (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureWarrantsBaseWarrantsFairValueDetails" id="DisclosureWarrantsBaseWarrantsFairValueDetails">
        <link:definition>99940903 - Disclosure - Warrants - Base Warrants Fair Value (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureWarrants2024PipePreFundedWarrantsDetails" id="DisclosureWarrants2024PipePreFundedWarrantsDetails">
        <link:definition>99940904 - Disclosure - Warrants - 2024 PIPE Pre-funded Warrants (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureWarrants2025PipeMilestoneAndPreFundedWarrantsDetails" id="DisclosureWarrants2025PipeMilestoneAndPreFundedWarrantsDetails">
        <link:definition>99940905 - Disclosure - Warrants - 2025 PIPE Milestone and Pre-Funded Warrants (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureOperatingLeasesDetails" id="DisclosureOperatingLeasesDetails">
        <link:definition>99941001 - Disclosure - Operating Leases (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureStockholdersEquityAuthorizedSharesDetails" id="DisclosureStockholdersEquityAuthorizedSharesDetails">
        <link:definition>99941201 - Disclosure - Stockholders' Equity - Authorized Shares (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureStockholdersEquityCompanySReservedCommonStockDetails" id="DisclosureStockholdersEquityCompanySReservedCommonStockDetails">
        <link:definition>99941203 - Disclosure - Stockholders' Equity - Company's reserved common stock (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureStockBasedCompensationStockBasedCompensationExpenseDetails" id="DisclosureStockBasedCompensationStockBasedCompensationExpenseDetails">
        <link:definition>99941301 - Disclosure - Stock-Based Compensation - Stock Based Compensation Expense (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureStockBasedCompensation2024EquityIncentivePlanDetails" id="DisclosureStockBasedCompensation2024EquityIncentivePlanDetails">
        <link:definition>99941302 - Disclosure - Stock-Based Compensation - 2024 Equity Incentive Plan (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureStockBasedCompensation2024KeyEmployeeEquityIncentivePlanDetails" id="DisclosureStockBasedCompensation2024KeyEmployeeEquityIncentivePlanDetails">
        <link:definition>99941303 - Disclosure - Stock-Based Compensation - 2024 Key Employee Equity Incentive Plan (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureStockBasedCompensation2024EsppDetails" id="DisclosureStockBasedCompensation2024EsppDetails">
        <link:definition>99941304 - Disclosure - Stock-Based Compensation - 2024 ESPP (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureStockBasedCompensationStockOptionActivityDetails" id="DisclosureStockBasedCompensationStockOptionActivityDetails">
        <link:definition>99941305 - Disclosure - Stock-Based Compensation - Stock Option Activity (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureLossPerShareLpsDetails" id="DisclosureLossPerShareLpsDetails">
        <link:definition>99941401 - Disclosure - Loss Per Share (LPS) - (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureLossPerShareLpsBasicDetails" id="DisclosureLossPerShareLpsBasicDetails">
        <link:definition>99941402 - Disclosure - Loss Per Share (LPS) - Basic (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureLossPerShareLpsPotentiallyDilutiveSecuritiesDetails" id="DisclosureLossPerShareLpsPotentiallyDilutiveSecuritiesDetails">
        <link:definition>99941404 - Disclosure - Loss Per Share (LPS) - Potentially dilutive securities (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureIncomeTaxesDetails" id="DisclosureIncomeTaxesDetails">
        <link:definition>99941501 - Disclosure - Income Taxes (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureRelatedPartyTransactionsConvertibleSecuritiesNotesDetails" id="DisclosureRelatedPartyTransactionsConvertibleSecuritiesNotesDetails">
        <link:definition>99941604 - Disclosure - Related Party Transactions - Convertible Securities Notes (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureRelatedPartyTransactionsPipeFinancingDetails" id="DisclosureRelatedPartyTransactionsPipeFinancingDetails">
        <link:definition>99941605 - Disclosure - Related Party Transactions - PIPE Financing (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DocumentDocumentAndEntityInformation" id="DocumentDocumentAndEntityInformation">
        <link:definition>995200090 - Document - Document and Entity Information</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureGoodwillAndIntangibleAssets" id="DisclosureGoodwillAndIntangibleAssets">
        <link:definition>995210601 - Disclosure - Goodwill and Intangible Assets</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureSegmentReporting" id="DisclosureSegmentReporting">
        <link:definition>995211701 - Disclosure - Segment Reporting</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureGoodwillAndIntangibleAssetsTables" id="DisclosureGoodwillAndIntangibleAssetsTables">
        <link:definition>99930603 - Disclosure - Goodwill and Intangible Assets (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureSegmentReportingTables" id="DisclosureSegmentReportingTables">
        <link:definition>99931703 - Disclosure - Segment Reporting (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesCashAndCashEquivalentsDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesCashAndCashEquivalentsDetails">
        <link:definition>99940202 - Disclosure - Summary of Significant Accounting Policies - Cash and Cash Equivalents (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesRevenueRecognitionDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesRevenueRecognitionDetails">
        <link:definition>99940203 - Disclosure - Summary of Significant Accounting Policies - Revenue Recognition (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesIntangibleAssetsDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesIntangibleAssetsDetails">
        <link:definition>99940205 - Disclosure - Summary of Significant Accounting Policies - Intangible Assets (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesGoodwillDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesGoodwillDetails">
        <link:definition>99940206 - Disclosure - Summary of Significant Accounting Policies - Goodwill (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesImpairmentOfLongLivedAssetsDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesImpairmentOfLongLivedAssetsDetails">
        <link:definition>99940208 - Disclosure - Summary of Significant Accounting Policies - Impairment of Long-Lived Assets (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:linkbaseRef xlink:type="simple" xlink:href="adgm-20260630_pre.xml" xlink:role="http://www.xbrl.org/2003/role/presentationLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
      <link:linkbaseRef xlink:type="simple" xlink:href="adgm-20260630_cal.xml" xlink:role="http://www.xbrl.org/2003/role/calculationLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
      <link:linkbaseRef xlink:type="simple" xlink:href="adgm-20260630_def.xml" xlink:role="http://www.xbrl.org/2003/role/definitionLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
      <link:linkbaseRef xlink:type="simple" xlink:href="adgm-20260630_lab.xml" xlink:role="http://www.xbrl.org/2003/role/labelLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
      <link:roleType roleURI="http://perceptivelife.com/role/DisclosureStandardAndCustomAxisDomainDefaults" id="DisclosureStandardAndCustomAxisDomainDefaults">
        <link:definition>99900 - Disclosure - Standard And Custom Axis Domain Defaults</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
    </xsd:appinfo>
  </xsd:annotation>
  <xsd:import namespace="http://fasb.org/us-gaap/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd" />
  <xsd:import namespace="http://fasb.org/srt/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd" />
  <xsd:import namespace="http://xbrl.sec.gov/dei/2025" schemaLocation="https://xbrl.sec.gov/dei/2025/dei-2025.xsd" />
  <xsd:import namespace="http://fasb.org/us-roles/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-roles-2025.xsd" />
  <xsd:import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd" />
  <xsd:import namespace="http://www.xbrl.org/2009/role/negated" schemaLocation="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd" />
  <xsd:import namespace="http://www.xbrl.org/dtr/type/2024-01-31" schemaLocation="https://www.xbrl.org/dtr/type/2024-01-31/types.xsd" />
  <xsd:import namespace="http://xbrl.org/2005/xbrldt" schemaLocation="http://www.xbrl.org/2005/xbrldt-2005.xsd" />
  <xsd:import namespace="http://xbrl.sec.gov/ecd/2025" schemaLocation="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd" />
  <xsd:import namespace="https://xbrl.org/2023/calculation-1.1" schemaLocation="https://www.xbrl.org/2023/calculation-1.1.xsd" />
  <xsd:import namespace="http://xbrl.sec.gov/ecd-sub/2025" schemaLocation="https://xbrl.sec.gov/ecd/2025/ecd-sub-2025.xsd" />
  <xsd:element name="FairValueAdjustmentOfConvertibleNotes" id="adgm_FairValueAdjustmentOfConvertibleNotes" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="IncreaseDecreaseInOtherAccruedLiabilitiesCurrent" id="adgm_IncreaseDecreaseInOtherAccruedLiabilitiesCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="IncomeTaxPenaltiesAndInterestAccrued" id="adgm_IncomeTaxPenaltiesAndInterestAccrued" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="EmergingGrowthCompanyPolicyTextBlock" id="adgm_EmergingGrowthCompanyPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ConcentrationsOfCreditRiskAndOffBalanceSheetRiskPolicyTextBlock" id="adgm_ConcentrationsOfCreditRiskAndOffBalanceSheetRiskPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="WarrantsPolicyTextBlock" id="adgm_WarrantsPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ConsolesMember" id="adgm_ConsolesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="ThreeSuppliersMember" id="adgm_ThreeSuppliersMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="FiveSuppliersMember" id="adgm_FiveSuppliersMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="TenSuppliersMember" id="adgm_TenSuppliersMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="ConcentrationRiskNumberOfSuppliers" id="adgm_ConcentrationRiskNumberOfSuppliers" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="FairValueAssetLevel1ToLevel2TransfersAmount" id="adgm_FairValueAssetLevel1ToLevel2TransfersAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="FairValueAssetLevel2ToLevel1TransfersAmount" id="adgm_FairValueAssetLevel2ToLevel1TransfersAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="FairValueLiabilityLevel2ToLevel1TransfersAmount" id="adgm_FairValueLiabilityLevel2ToLevel1TransfersAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="AccruedLiabilitiesDisclosureTextBlock" id="adgm_AccruedLiabilitiesDisclosureTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ResearchAndDevelopmentExpenseAccrualCurrent" id="adgm_ResearchAndDevelopmentExpenseAccrualCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="WarrantsAndRightsNoteDisclosureTextBlock" id="adgm_WarrantsAndRightsNoteDisclosureTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="CommonStockVotingRightsVotesPerShare" id="adgm_CommonStockVotingRightsVotesPerShare" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="ConvertWarrantsMember" id="adgm_ConvertWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="WeightedAverageRemainingContractualLifeAbstract" id="adgm_WeightedAverageRemainingContractualLifeAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="AggregateIntrinsicValueAbstract" id="adgm_AggregateIntrinsicValueAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="InterimFinancialInformationPolicyPolicyTextBlock" id="adgm_InterimFinancialInformationPolicyPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ClassOfWarrantOrRightNumberOfWarrantsIssued" id="adgm_ClassOfWarrantOrRightNumberOfWarrantsIssued" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="StockIssuedDuringPeriodValueIssuanceOfEarnOutShares" id="adgm_StockIssuedDuringPeriodValueIssuanceOfEarnOutShares" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="StockIssuedDuringPeriodSharesIssuanceOfEarnOutShares" id="adgm_StockIssuedDuringPeriodSharesIssuanceOfEarnOutShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ClassAryaSharesMember" id="adgm_ClassAryaSharesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="BaseWarrantsMember" id="adgm_BaseWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="PipePreFundedWarrantsMember" id="adgm_PipePreFundedWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="ConvertibleSecuritiesNotesMember" id="adgm_ConvertibleSecuritiesNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="CommittedFinancingValue" id="adgm_CommittedFinancingValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="CommonStockCapitalSharesValueReservedForFutureIssuance" id="adgm_CommonStockCapitalSharesValueReservedForFutureIssuance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="StockIssuedDuringPeriodSharesInExchangeOfCommitmentToPurchaseSharesAndNotToRedeem" id="adgm_StockIssuedDuringPeriodSharesInExchangeOfCommitmentToPurchaseSharesAndNotToRedeem" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ClassOfWarrantOrRightNumberOfWarrantsIssuedInExchangeOfCommitmentToPurchaseSharesAndNotToRedeem" id="adgm_ClassOfWarrantOrRightNumberOfWarrantsIssuedInExchangeOfCommitmentToPurchaseSharesAndNotToRedeem" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="NumberOfSharesSubjectedToRedemption" id="adgm_NumberOfSharesSubjectedToRedemption" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="StockIssuedDuringPeriodSharesInExchangeOfNonRedemptionOfShares" id="adgm_StockIssuedDuringPeriodSharesInExchangeOfNonRedemptionOfShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ClassOfWarrantOrRightNumberOfWarrantsIssuedInExchangeOfNonRedemptionOfShares" id="adgm_ClassOfWarrantOrRightNumberOfWarrantsIssuedInExchangeOfNonRedemptionOfShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ClassOfWarrantOrRightReservedForFutureIssuance" id="adgm_ClassOfWarrantOrRightReservedForFutureIssuance" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="CashInvestment" id="adgm_CashInvestment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="InvestmentInDebtForm" id="adgm_InvestmentInDebtForm" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="AdditionalCashInvestment" id="adgm_AdditionalCashInvestment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="StockIssuedDuringPeriodSharesInExchangeOfConvertibleDebtAndAdditionalCashInvestment" id="adgm_StockIssuedDuringPeriodSharesInExchangeOfConvertibleDebtAndAdditionalCashInvestment" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ClassOfWarrantOrRightNumberOfWarrantsIssuedInExchangeOfConvertibleDebtAndAdditionalCashInvestment" id="adgm_ClassOfWarrantOrRightNumberOfWarrantsIssuedInExchangeOfConvertibleDebtAndAdditionalCashInvestment" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ClassOfWarrantOrRightNumberOfWarrantsIssuedForAdditionalCashInvestment" id="adgm_ClassOfWarrantOrRightNumberOfWarrantsIssuedForAdditionalCashInvestment" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="EarnOutSharesMember" id="adgm_EarnOutSharesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="ConvertibleSecuritiesFairValueAdjustment" id="adgm_ConvertibleSecuritiesFairValueAdjustment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="SharesIssuedDuringPeriodWarrantsExercised" id="adgm_SharesIssuedDuringPeriodWarrantsExercised" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ShareBasedCompensationArrangementByShareBasedPaymentAwardAnnualPercentageIncreaseToNumberOfSharesAuthorized" id="adgm_ShareBasedCompensationArrangementByShareBasedPaymentAwardAnnualPercentageIncreaseToNumberOfSharesAuthorized" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="KeyEmployeeEquityIncentivePlan2024Member" id="adgm_KeyEmployeeEquityIncentivePlan2024Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="EmployeeStockPurchasePlan2024Member" id="adgm_EmployeeStockPurchasePlan2024Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="ClassOfWarrantOrRightNumberOfWarrantsIssuedInExchangeOfNonRedeemableShares" id="adgm_ClassOfWarrantOrRightNumberOfWarrantsIssuedInExchangeOfNonRedeemableShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="SharesIssuesDuringPeriodExchangeOfNonRedeemableShares" id="adgm_SharesIssuesDuringPeriodExchangeOfNonRedeemableShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="MeasurementInputVolatilityHaircutMember" id="adgm_MeasurementInputVolatilityHaircutMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="EquityIncentivePlan2024Member" id="adgm_EquityIncentivePlan2024Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="CommonStockCapitalSharesReservedForFutureIssuanceTaleTextBlock" id="adgm_CommonStockCapitalSharesReservedForFutureIssuanceTaleTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ConvertibleDebtSharesIssuableShares" id="adgm_ConvertibleDebtSharesIssuableShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="StockIssuableUponExerciseOfOutstandingOptionsEquityPlansAssumedInBusinessCombination" id="adgm_StockIssuableUponExerciseOfOutstandingOptionsEquityPlansAssumedInBusinessCombination" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="SponsorEarnoutMember" id="adgm_SponsorEarnoutMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="CommonStockTriggerPrice" id="adgm_CommonStockTriggerPrice" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="CustomerPaymentPeriod" id="adgm_CustomerPaymentPeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="WarrantsExercised" id="adgm_WarrantsExercised" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="IndefiniteLivedIntangibleAssetsBeforeImpairmentExcludingGoodwill" id="adgm_IndefiniteLivedIntangibleAssetsBeforeImpairmentExcludingGoodwill" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="debit" />
  <xsd:element name="IndefiniteLivedIntangibleAssetsImpairmentExcludingGoodwill" id="adgm_IndefiniteLivedIntangibleAssetsImpairmentExcludingGoodwill" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="IntangibleAssetsImpairmentExcludingGoodwill" id="adgm_IntangibleAssetsImpairmentExcludingGoodwill" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="SponsorAgreementShareTriggerPriceTradingDays" id="adgm_SponsorAgreementShareTriggerPriceTradingDays" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="SponsorAgreementShareTriggerPriceTradingDaysPeriod" id="adgm_SponsorAgreementShareTriggerPriceTradingDaysPeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="CashDividendToDate" id="adgm_CashDividendToDate" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="WarrantsExercisedToDate" id="adgm_WarrantsExercisedToDate" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="SingleReportableSegmentMember" id="adgm_SingleReportableSegmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="WarrantsFairValuePerUnit" id="adgm_WarrantsFairValuePerUnit" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="NumberOfSharesExchangedForEntitySCommonStock" id="adgm_NumberOfSharesExchangedForEntitySCommonStock" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ScheduleOfFiniteLivedAndIndefiniteLiveIntangibleAssetsTableTextBlock" id="adgm_ScheduleOfFiniteLivedAndIndefiniteLiveIntangibleAssetsTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ShareBasedCompensationAutomaticIncreasePeriod" id="adgm_ShareBasedCompensationAutomaticIncreasePeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax1" id="adgm_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax1" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="CommonStockWarrantsTrancheMember" id="adgm_CommonStockWarrantsTrancheMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="CommonStockWarrantsTrancheBMember" id="adgm_CommonStockWarrantsTrancheBMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="CommonStockWarrantsTrancheCMember" id="adgm_CommonStockWarrantsTrancheCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="SaleOfStockNumberOfShareWarrantsIssuedInTransaction" id="adgm_SaleOfStockNumberOfShareWarrantsIssuedInTransaction" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="PotentialProceedsFromExerciseOfWarrants" id="adgm_PotentialProceedsFromExerciseOfWarrants" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="SharesAndMilestoneWarrantsIssuedCombinedPricePerShare" id="adgm_SharesAndMilestoneWarrantsIssuedCombinedPricePerShare" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="SharesAndWarrantsIssuedAllocatedPriceToEachMilestoneWarrant" id="adgm_SharesAndWarrantsIssuedAllocatedPriceToEachMilestoneWarrant" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="SharesAndWarrantsIssuedCombinedPriceOfEachPreFundedAndMilestoneWarrant" id="adgm_SharesAndWarrantsIssuedCombinedPriceOfEachPreFundedAndMilestoneWarrant" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="SaleOfStockAndPreFundedWarrantNumberOfWarrantsAccompanyingEachShare" id="adgm_SaleOfStockAndPreFundedWarrantNumberOfWarrantsAccompanyingEachShare" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="WarrantsAndRightsOutstandingTermFollowingResultsOfClinicalTrial" id="adgm_WarrantsAndRightsOutstandingTermFollowingResultsOfClinicalTrial" type="xbrli:durationItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="WarrantsExerciseMaximumOwnershipOfCommonStockThreshold" id="adgm_WarrantsExerciseMaximumOwnershipOfCommonStockThreshold" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="WarrantsExerciseMaximumOwnershipOfCommonStockThresholdAtHoldersOption" id="adgm_WarrantsExerciseMaximumOwnershipOfCommonStockThresholdAtHoldersOption" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="CommonStockWarrantsMilestoneMember" id="adgm_CommonStockWarrantsMilestoneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="WaiverSharesIssuedDuringPeriod" id="adgm_WaiverSharesIssuedDuringPeriod" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="WaiverSharesIssuedValueDuringPeriod" id="adgm_WaiverSharesIssuedValueDuringPeriod" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="PipeMilestoneWarrantsWarrantsMember" id="adgm_PipeMilestoneWarrantsWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="PIPEPreFundedWarrants2025Member" id="adgm_PIPEPreFundedWarrants2025Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="PIPEPreFundedWarrants2025AndMilestoneWarrantsMember" id="adgm_PIPEPreFundedWarrants2025AndMilestoneWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="PrivatePlacement2025Member" id="adgm_PrivatePlacement2025Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="PrivateInvestmentInPublicEquity2025Member" id="adgm_PrivateInvestmentInPublicEquity2025Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="ShareBasedCompensationArrangementByShareBasedPaymentAwardGrantsInPeriod" id="adgm_ShareBasedCompensationArrangementByShareBasedPaymentAwardGrantsInPeriod" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="PrivateInvestmentInPublicEquity2024Member" id="adgm_PrivateInvestmentInPublicEquity2024Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="PerceptiveInvestorInPrivateInvestmentInPublicEquityMember" id="adgm_PerceptiveInvestorInPrivateInvestmentInPublicEquityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="OtherInvestorInPrivateInvestmentInPublicEquityMember" id="adgm_OtherInvestorInPrivateInvestmentInPublicEquityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="StockIssuedDuringPeriodSharesToSettleFinancingAndInterest" id="adgm_StockIssuedDuringPeriodSharesToSettleFinancingAndInterest" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="StockIssuedDuringPeriodWarrantsToSettleFinancingAndInterest" id="adgm_StockIssuedDuringPeriodWarrantsToSettleFinancingAndInterest" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="SharesCommittedToBePurchasedInPrivateInvestmentInPublicEquityFinancing" id="adgm_SharesCommittedToBePurchasedInPrivateInvestmentInPublicEquityFinancing" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="CommonStockWarrantsTrancheBAndCMember" id="adgm_CommonStockWarrantsTrancheBAndCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRightsExpiredUnexercised" id="adgm_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRightsExpiredUnexercised" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="CommonStockWarrantsOutstanding" id="adgm_CommonStockWarrantsOutstanding" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="BeneficialOwnershipMaximumOwnershipAtHoldersOption" id="adgm_BeneficialOwnershipMaximumOwnershipAtHoldersOption" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="CommonStockBeneficialOwnershipChangeThresholdAtHoldersElectionNotificationPeriod" id="adgm_CommonStockBeneficialOwnershipChangeThresholdAtHoldersElectionNotificationPeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
</xsd:schema>
