<?xml version='1.0' encoding='utf-8'?>
<FilingSummary>
  <Version>3.26.1</Version>
  <ProcessingTime/>
  <ReportFormat>html</ReportFormat>
  <ContextCount>316</ContextCount>
  <ElementCount>537</ElementCount>
  <EntityCount>1</EntityCount>
  <FootnotesReported>false</FootnotesReported>
  <SegmentCount>102</SegmentCount>
  <ScenarioCount>0</ScenarioCount>
  <TuplesReported>false</TuplesReported>
  <UnitCount>11</UnitCount>
  <MyReports>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R1.htm</HtmlFileName>
      <LongName>995200090 - Document - Document and Entity Information</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DocumentDocumentAndEntityInformation</Role>
      <ShortName>Document and Entity Information</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>1</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R2.htm</HtmlFileName>
      <LongName>995200100 - Statement - Consolidated Balance Sheets</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/StatementConsolidatedBalanceSheets</Role>
      <ShortName>Consolidated Balance Sheets</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>2</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R3.htm</HtmlFileName>
      <LongName>995200105 - Statement - Consolidated Balance Sheets (Parenthetical)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/StatementConsolidatedBalanceSheetsParenthetical</Role>
      <ShortName>Consolidated Balance Sheets (Parenthetical)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>3</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R4.htm</HtmlFileName>
      <LongName>995200200 - Statement - Consolidated Statements of Operations and Comprehensive (Loss) Income</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/StatementConsolidatedStatementsOfOperationsAndComprehensiveLossIncome</Role>
      <ShortName>Consolidated Statements of Operations and Comprehensive (Loss) Income</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>4</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R5.htm</HtmlFileName>
      <LongName>995200300 - Statement - Consolidated Statements of Convertible Preferred Stock and Stockholders' Equity (Deficit)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/StatementConsolidatedStatementsOfConvertiblePreferredStockAndStockholdersEquityDeficit</Role>
      <ShortName>Consolidated Statements of Convertible Preferred Stock and Stockholders' Equity (Deficit)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>5</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R6.htm</HtmlFileName>
      <LongName>995200305 - Statement - Consolidated Statements of Convertible Preferred Stock and Stockholders' Equity (Deficit) (Parenthetical)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/StatementConsolidatedStatementsOfConvertiblePreferredStockAndStockholdersEquityDeficitParenthetical</Role>
      <ShortName>Consolidated Statements of Convertible Preferred Stock and Stockholders' Equity (Deficit) (Parenthetical)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>6</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R7.htm</HtmlFileName>
      <LongName>995200400 - Statement - Consolidated Statements of Cash Flows</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/StatementConsolidatedStatementsOfCashFlows</Role>
      <ShortName>Consolidated Statements of Cash Flows</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>7</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R8.htm</HtmlFileName>
      <LongName>995200405 - Statement - Consolidated Statements of Cash Flows (Parenthetical)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/StatementConsolidatedStatementsOfCashFlowsParenthetical</Role>
      <ShortName>Consolidated Statements of Cash Flows (Parenthetical)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>8</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R9.htm</HtmlFileName>
      <LongName>995210101 - Disclosure - Description of Organization and Business Operations</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureDescriptionOfOrganizationAndBusinessOperations</Role>
      <ShortName>Description of Organization and Business Operations</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>9</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R10.htm</HtmlFileName>
      <LongName>995210201 - Disclosure - Summary of Significant Accounting Policies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPolicies</Role>
      <ShortName>Summary of Significant Accounting Policies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>10</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R11.htm</HtmlFileName>
      <LongName>995210301 - Disclosure - Forward Merger</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureForwardMerger</Role>
      <ShortName>Forward Merger</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>11</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R12.htm</HtmlFileName>
      <LongName>995210401 - Disclosure - Fair Value Measurements</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureFairValueMeasurements</Role>
      <ShortName>Fair Value Measurements</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>12</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R13.htm</HtmlFileName>
      <LongName>995210501 - Disclosure - Inventory, net</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureInventoryNet</Role>
      <ShortName>Inventory, net</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>13</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R14.htm</HtmlFileName>
      <LongName>995210601 - Disclosure - Property and Equipment</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosurePropertyAndEquipment</Role>
      <ShortName>Property and Equipment</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>14</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R15.htm</HtmlFileName>
      <LongName>995210701 - Disclosure - Goodwill and Intangible Assets</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureGoodwillAndIntangibleAssets</Role>
      <ShortName>Goodwill and Intangible Assets</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>15</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R16.htm</HtmlFileName>
      <LongName>995210801 - Disclosure - Accrued Liabilities</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureAccruedLiabilities</Role>
      <ShortName>Accrued Liabilities</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>16</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R17.htm</HtmlFileName>
      <LongName>995210901 - Disclosure - Debt</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureDebt</Role>
      <ShortName>Debt</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>17</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R18.htm</HtmlFileName>
      <LongName>995211001 - Disclosure - Warrants</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureWarrants</Role>
      <ShortName>Warrants</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>18</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R19.htm</HtmlFileName>
      <LongName>995211101 - Disclosure - Operating Leases</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureOperatingLeases</Role>
      <ShortName>Operating Leases</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>19</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R20.htm</HtmlFileName>
      <LongName>995211201 - Disclosure - Commitments and Contingencies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureCommitmentsAndContingencies</Role>
      <ShortName>Commitments and Contingencies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>20</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R21.htm</HtmlFileName>
      <LongName>995211301 - Disclosure - Mezzanine Equity and Stockholders' Equity (Deficit)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficit</Role>
      <ShortName>Mezzanine Equity and Stockholders' Equity (Deficit)</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>21</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R22.htm</HtmlFileName>
      <LongName>995211401 - Disclosure - Stock-Based Compensation</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureStockBasedCompensation</Role>
      <ShortName>Stock-Based Compensation</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>22</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R23.htm</HtmlFileName>
      <LongName>995211501 - Disclosure - Earnings Per Share (EPS)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureEarningsPerShareEps</Role>
      <ShortName>Earnings Per Share (EPS)</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>23</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R24.htm</HtmlFileName>
      <LongName>995211601 - Disclosure - Income Taxes</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureIncomeTaxes</Role>
      <ShortName>Income Taxes</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>24</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R25.htm</HtmlFileName>
      <LongName>995211701 - Disclosure - Related Party Transactions</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureRelatedPartyTransactions</Role>
      <ShortName>Related Party Transactions</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>25</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R26.htm</HtmlFileName>
      <LongName>995211801 - Disclosure - Segment Reporting</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureSegmentReporting</Role>
      <ShortName>Segment Reporting</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>26</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R27.htm</HtmlFileName>
      <LongName>995211901 - Disclosure - Subsequent Events</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureSubsequentEvents</Role>
      <ShortName>Subsequent Events</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>27</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R28.htm</HtmlFileName>
      <LongName>995410 - Disclosure - Pay vs Performance Disclosure</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/ecd/role/PvpDisclosure</Role>
      <ShortName>Pay vs Performance Disclosure</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>28</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R29.htm</HtmlFileName>
      <LongName>995445 - Disclosure - Insider Trading Arrangements</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements</Role>
      <ShortName>Insider Trading Arrangements</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>29</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R30.htm</HtmlFileName>
      <LongName>995447 - Disclosure - Insider Trading Policies and Procedures</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/ecd/role/InsiderTradingPoliciesProc</Role>
      <ShortName>Insider Trading Policies and Procedures</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>30</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R31.htm</HtmlFileName>
      <LongName>995550 - Disclosure - Cybersecurity Risk Management and Strategy Disclosure</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/cyd/role/CybersecurityRiskManagementAndStrategyDisclosure</Role>
      <ShortName>Cybersecurity Risk Management and Strategy Disclosure</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>31</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R32.htm</HtmlFileName>
      <LongName>99920202 - Disclosure - Summary of Significant Accounting Policies (Policies)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesPolicies</Role>
      <ShortName>Summary of Significant Accounting Policies (Policies)</ShortName>
      <MenuCategory>Policies</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPolicies</ParentRole>
      <Position>32</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R33.htm</HtmlFileName>
      <LongName>99930303 - Disclosure - Forward Merger (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureForwardMergerTables</Role>
      <ShortName>Forward Merger (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureForwardMerger</ParentRole>
      <Position>33</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R34.htm</HtmlFileName>
      <LongName>99930403 - Disclosure - Fair Value Measurements (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureFairValueMeasurementsTables</Role>
      <ShortName>Fair Value Measurements (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureFairValueMeasurements</ParentRole>
      <Position>34</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R35.htm</HtmlFileName>
      <LongName>99930503 - Disclosure - Inventory, net (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureInventoryNetTables</Role>
      <ShortName>Inventory, net (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureInventoryNet</ParentRole>
      <Position>35</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R36.htm</HtmlFileName>
      <LongName>99930603 - Disclosure - Property and Equipment (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosurePropertyAndEquipmentTables</Role>
      <ShortName>Property and Equipment (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosurePropertyAndEquipment</ParentRole>
      <Position>36</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R37.htm</HtmlFileName>
      <LongName>99930703 - Disclosure - Goodwill and Intangible Assets (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureGoodwillAndIntangibleAssetsTables</Role>
      <ShortName>Goodwill and Intangible Assets (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureGoodwillAndIntangibleAssets</ParentRole>
      <Position>37</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R38.htm</HtmlFileName>
      <LongName>99930803 - Disclosure - Accrued Liabilities (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureAccruedLiabilitiesTables</Role>
      <ShortName>Accrued Liabilities (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureAccruedLiabilities</ParentRole>
      <Position>38</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R39.htm</HtmlFileName>
      <LongName>99930903 - Disclosure - Debt (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureDebtTables</Role>
      <ShortName>Debt (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureDebt</ParentRole>
      <Position>39</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R40.htm</HtmlFileName>
      <LongName>99931103 - Disclosure - Operating Leases (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureOperatingLeasesTables</Role>
      <ShortName>Operating Leases (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureOperatingLeases</ParentRole>
      <Position>40</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R41.htm</HtmlFileName>
      <LongName>99931303 - Disclosure - Mezzanine Equity and Stockholders' Equity (Deficit) (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitTables</Role>
      <ShortName>Mezzanine Equity and Stockholders' Equity (Deficit) (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficit</ParentRole>
      <Position>41</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R42.htm</HtmlFileName>
      <LongName>99931403 - Disclosure - Stock-Based Compensation (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureStockBasedCompensationTables</Role>
      <ShortName>Stock-Based Compensation (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureStockBasedCompensation</ParentRole>
      <Position>42</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R43.htm</HtmlFileName>
      <LongName>99931503 - Disclosure - Earnings Per Share (EPS) (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureEarningsPerShareEpsTables</Role>
      <ShortName>Earnings Per Share (EPS) (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureEarningsPerShareEps</ParentRole>
      <Position>43</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R44.htm</HtmlFileName>
      <LongName>99931603 - Disclosure - Income Taxes (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureIncomeTaxesTables</Role>
      <ShortName>Income Taxes (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureIncomeTaxes</ParentRole>
      <Position>44</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R45.htm</HtmlFileName>
      <LongName>99931803 - Disclosure - Segment Reporting (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureSegmentReportingTables</Role>
      <ShortName>Segment Reporting (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureSegmentReporting</ParentRole>
      <Position>45</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R46.htm</HtmlFileName>
      <LongName>99940101 - Disclosure - Description of Organization and Business Operations - Liquidity and Going Concern (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureDescriptionOfOrganizationAndBusinessOperationsLiquidityAndGoingConcernDetails</Role>
      <ShortName>Description of Organization and Business Operations - Liquidity and Going Concern (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>46</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R47.htm</HtmlFileName>
      <LongName>99940201 - Disclosure - Summary of Significant Accounting Policies - Segments (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesSegmentsDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Segments (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>47</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R48.htm</HtmlFileName>
      <LongName>99940202 - Disclosure - Summary of Significant Accounting Policies - Cash and Cash Equivalents (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesCashAndCashEquivalentsDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Cash and Cash Equivalents (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>48</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R49.htm</HtmlFileName>
      <LongName>99940203 - Disclosure - Summary of Significant Accounting Policies - Revenue Recognition (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesRevenueRecognitionDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Revenue Recognition (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>49</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R50.htm</HtmlFileName>
      <LongName>99940204 - Disclosure - Summary of Significant Accounting Policies - Property and Equipment (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesPropertyAndEquipmentDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Property and Equipment (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>50</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R51.htm</HtmlFileName>
      <LongName>99940205 - Disclosure - Summary of Significant Accounting Policies - Intangible Assets (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesIntangibleAssetsDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Intangible Assets (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>51</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R52.htm</HtmlFileName>
      <LongName>99940206 - Disclosure - Summary of Significant Accounting Policies - Goodwill (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesGoodwillDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Goodwill (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>52</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R53.htm</HtmlFileName>
      <LongName>99940207 - Disclosure - Summary of Significant Accounting Policies - Concentrations (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesConcentrationsDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Concentrations (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>53</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R54.htm</HtmlFileName>
      <LongName>99940209 - Disclosure - Summary of Significant Accounting Policies - Convertible Preferred Stock (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesConvertiblePreferredStockDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Convertible Preferred Stock (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>54</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R55.htm</HtmlFileName>
      <LongName>99940210 - Disclosure - Summary of Significant Accounting Policies - Income Taxes (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureSummaryOfSignificantAccountingPoliciesIncomeTaxesDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Income Taxes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>55</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R56.htm</HtmlFileName>
      <LongName>99940301 - Disclosure - Forward Merger (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureForwardMergerDetails</Role>
      <ShortName>Forward Merger (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureForwardMergerTables</ParentRole>
      <Position>56</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R57.htm</HtmlFileName>
      <LongName>99940302 - Disclosure - Forward Merger - Consummation of Business Combinations (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureForwardMergerConsummationOfBusinessCombinationsDetails</Role>
      <ShortName>Forward Merger - Consummation of Business Combinations (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>57</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R58.htm</HtmlFileName>
      <LongName>99940303 - Disclosure - Forward Merger - PIPE Financing (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureForwardMergerPipeFinancingDetails</Role>
      <ShortName>Forward Merger - PIPE Financing (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>58</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R59.htm</HtmlFileName>
      <LongName>99940304 - Disclosure - Forward Merger - Convert Investors (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureForwardMergerConvertInvestorsDetails</Role>
      <ShortName>Forward Merger - Convert Investors (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>59</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R60.htm</HtmlFileName>
      <LongName>99940305 - Disclosure - Forward Merger - Purchase price (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureForwardMergerPurchasePriceDetails</Role>
      <ShortName>Forward Merger - Purchase price (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>60</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R61.htm</HtmlFileName>
      <LongName>99940306 - Disclosure - Forward Merger - Allocation of the purchase price (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureForwardMergerAllocationOfPurchasePriceDetails</Role>
      <ShortName>Forward Merger - Allocation of the purchase price (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>61</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R62.htm</HtmlFileName>
      <LongName>99940307 - Disclosure - Forward Merger - Number of shares of common stock issued and amounts (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureForwardMergerNumberOfSharesOfCommonStockIssuedAndAmountsDetails</Role>
      <ShortName>Forward Merger - Number of shares of common stock issued and amounts (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>62</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R63.htm</HtmlFileName>
      <LongName>99940401 - Disclosure - Fair Value Measurements - Fair Value Hierarchy (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureFairValueMeasurementsFairValueHierarchyDetails</Role>
      <ShortName>Fair Value Measurements - Fair Value Hierarchy (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>63</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R64.htm</HtmlFileName>
      <LongName>99940402 - Disclosure - Fair Value Measurements - Bridge Financing Notes (Predecessor) (Details)</LongName>
      <ReportType>Notes</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureFairValueMeasurementsBridgeFinancingNotesPredecessorDetails</Role>
      <ShortName>Fair Value Measurements - Bridge Financing Notes (Predecessor) (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>64</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R65.htm</HtmlFileName>
      <LongName>99940403 - Disclosure - Fair Value Measurements - Convertible Promissory Notes Level 3 (Details)</LongName>
      <ReportType>Notes</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureFairValueMeasurementsConvertiblePromissoryNotesLevel3Details</Role>
      <ShortName>Fair Value Measurements - Convertible Promissory Notes Level 3 (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>65</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R66.htm</HtmlFileName>
      <LongName>99940404 - Disclosure - Fair Value Measurements - Convertible Securities Notes (Successor) (Details)</LongName>
      <ReportType>Notes</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureFairValueMeasurementsConvertibleSecuritiesNotesSuccessorDetails</Role>
      <ShortName>Fair Value Measurements - Convertible Securities Notes (Successor) (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>66</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R67.htm</HtmlFileName>
      <LongName>99940405 - Disclosure - Fair Value Measurements - Convertible Securities Notes Valuation Input (Details)</LongName>
      <ReportType>Notes</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureFairValueMeasurementsConvertibleSecuritiesNotesValuationInputDetails</Role>
      <ShortName>Fair Value Measurements - Convertible Securities Notes Valuation Input (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>67</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R68.htm</HtmlFileName>
      <LongName>99940406 - Disclosure - Fair Value Measurements - Convertible Securities Notes Level 3 (Details)</LongName>
      <ReportType>Notes</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureFairValueMeasurementsConvertibleSecuritiesNotesLevel3Details</Role>
      <ShortName>Fair Value Measurements - Convertible Securities Notes Level 3 (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>68</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R69.htm</HtmlFileName>
      <LongName>99940407 - Disclosure - Fair Value Measurements - Series E Pre-funded Warrant (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureFairValueMeasurementsSeriesEPreFundedWarrantDetails</Role>
      <ShortName>Fair Value Measurements - Series E Pre-funded Warrant (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>69</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R70.htm</HtmlFileName>
      <LongName>99940408 - Disclosure - Fair Value Measurements - Convert Warrants (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureFairValueMeasurementsConvertWarrantsDetails</Role>
      <ShortName>Fair Value Measurements - Convert Warrants (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>70</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R71.htm</HtmlFileName>
      <LongName>99940409 - Disclosure - Fair Value Measurements - Convert Warrant Valuation Inputs (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureFairValueMeasurementsConvertWarrantValuationInputsDetails</Role>
      <ShortName>Fair Value Measurements - Convert Warrant Valuation Inputs (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>71</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R72.htm</HtmlFileName>
      <LongName>99940410 - Disclosure - Fair Value Measurements - Convert Warrant Level 3 (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureFairValueMeasurementsConvertWarrantLevel3Details</Role>
      <ShortName>Fair Value Measurements - Convert Warrant Level 3 (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>72</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R73.htm</HtmlFileName>
      <LongName>99940411 - Disclosure - Fair Value Measurements - Pre-funded Warrant (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureFairValueMeasurementsPreFundedWarrantDetails</Role>
      <ShortName>Fair Value Measurements - Pre-funded Warrant (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>73</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R74.htm</HtmlFileName>
      <LongName>99940412 - Disclosure - Fair Value Measurements - Pre-funded Warrant Level 3 (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureFairValueMeasurementsPreFundedWarrantLevel3Details</Role>
      <ShortName>Fair Value Measurements - Pre-funded Warrant Level 3 (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>74</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R75.htm</HtmlFileName>
      <LongName>99940501 - Disclosure - Inventory, net (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureInventoryNetDetails</Role>
      <ShortName>Inventory, net (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureInventoryNetTables</ParentRole>
      <Position>75</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R76.htm</HtmlFileName>
      <LongName>99940601 - Disclosure - Property and Equipment (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosurePropertyAndEquipmentDetails</Role>
      <ShortName>Property and Equipment (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosurePropertyAndEquipmentTables</ParentRole>
      <Position>76</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R77.htm</HtmlFileName>
      <LongName>99940701 - Disclosure - Goodwill and Intangible Assets - Intangible assets, net (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureGoodwillAndIntangibleAssetsIntangibleAssetsNetDetails</Role>
      <ShortName>Goodwill and Intangible Assets - Intangible assets, net (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>77</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R78.htm</HtmlFileName>
      <LongName>99940702 - Disclosure - Goodwill and Intangible Assets - Goodwill (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureGoodwillAndIntangibleAssetsGoodwillDetails</Role>
      <ShortName>Goodwill and Intangible Assets - Goodwill (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>78</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R79.htm</HtmlFileName>
      <LongName>99940801 - Disclosure - Accrued Liabilities (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureAccruedLiabilitiesDetails</Role>
      <ShortName>Accrued Liabilities (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureAccruedLiabilitiesTables</ParentRole>
      <Position>79</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R80.htm</HtmlFileName>
      <LongName>99940901 - Disclosure - Debt - Schedule of debt (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureDebtScheduleOfDebtDetails</Role>
      <ShortName>Debt - Schedule of debt (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>80</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R81.htm</HtmlFileName>
      <LongName>99940902 - Disclosure - Debt - October 2022 Convertible Notes (Details)</LongName>
      <ReportType>Notes</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureDebtOctober2022ConvertibleNotesDetails</Role>
      <ShortName>Debt - October 2022 Convertible Notes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>81</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R82.htm</HtmlFileName>
      <LongName>99940903 - Disclosure - Debt - April 2023 Convertible Notes (Details)</LongName>
      <ReportType>Notes</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureDebtApril2023ConvertibleNotesDetails</Role>
      <ShortName>Debt - April 2023 Convertible Notes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>82</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R83.htm</HtmlFileName>
      <LongName>99940904 - Disclosure - Debt - November 2023 Convertible Notes (Details)</LongName>
      <ReportType>Notes</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureDebtNovember2023ConvertibleNotesDetails</Role>
      <ShortName>Debt - November 2023 Convertible Notes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>83</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R84.htm</HtmlFileName>
      <LongName>99940905 - Disclosure - Debt - May 2024 Convertible Notes (Details)</LongName>
      <ReportType>Notes</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureDebtMay2024ConvertibleNotesDetails</Role>
      <ShortName>Debt - May 2024 Convertible Notes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>84</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R85.htm</HtmlFileName>
      <LongName>99940906 - Disclosure - Debt - June 2024 Convertible Notes (Details)</LongName>
      <ReportType>Notes</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureDebtJune2024ConvertibleNotesDetails</Role>
      <ShortName>Debt - June 2024 Convertible Notes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>85</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R86.htm</HtmlFileName>
      <LongName>99940907 - Disclosure - Debt - July 2024 Convertible Notes (Details)</LongName>
      <ReportType>Notes</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureDebtJuly2024ConvertibleNotesDetails</Role>
      <ShortName>Debt - July 2024 Convertible Notes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>86</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R87.htm</HtmlFileName>
      <LongName>99940908 - Disclosure - Debt - February 2024 Convertible Notes (Details)</LongName>
      <ReportType>Notes</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureDebtFebruary2024ConvertibleNotesDetails</Role>
      <ShortName>Debt - February 2024 Convertible Notes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>87</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R88.htm</HtmlFileName>
      <LongName>99940909 - Disclosure - Debt - SVB Term Loan (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureDebtSvbTermLoanDetails</Role>
      <ShortName>Debt - SVB Term Loan (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>88</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R89.htm</HtmlFileName>
      <LongName>99940910 - Disclosure - Debt - Convertible Securities Notes (Details)</LongName>
      <ReportType>Notes</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureDebtConvertibleSecuritiesNotesDetails</Role>
      <ShortName>Debt - Convertible Securities Notes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>89</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R90.htm</HtmlFileName>
      <LongName>99941001 - Disclosure - Warrants - SVB Warrants (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureWarrantsSvbWarrantsDetails</Role>
      <ShortName>Warrants - SVB Warrants (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>90</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R91.htm</HtmlFileName>
      <LongName>99941002 - Disclosure - Warrants - Series E Pre-funded Warrants (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureWarrantsSeriesEPreFundedWarrantsDetails</Role>
      <ShortName>Warrants - Series E Pre-funded Warrants (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>91</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R92.htm</HtmlFileName>
      <LongName>99941003 - Disclosure - Warrants - Convert Warrants (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureWarrantsConvertWarrantsDetails</Role>
      <ShortName>Warrants - Convert Warrants (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>92</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R93.htm</HtmlFileName>
      <LongName>99941004 - Disclosure - Warrants - PIPE Pre-funded Warrants (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureWarrantsPipePreFundedWarrantsDetails</Role>
      <ShortName>Warrants - PIPE Pre-funded Warrants (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>93</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R94.htm</HtmlFileName>
      <LongName>99941005 - Disclosure - Warrants - PIPE Base Warrants (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureWarrantsPipeBaseWarrantsDetails</Role>
      <ShortName>Warrants - PIPE Base Warrants (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>94</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R95.htm</HtmlFileName>
      <LongName>99941006 - Disclosure - Warrants - 2025 PIPE Milestone and Pre-Funded Warrants (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureWarrants2025PipeMilestoneAndPreFundedWarrantsDetails</Role>
      <ShortName>Warrants - 2025 PIPE Milestone and Pre-Funded Warrants (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>95</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R96.htm</HtmlFileName>
      <LongName>99941101 - Disclosure - Operating Leases (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureOperatingLeasesDetails</Role>
      <ShortName>Operating Leases (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureOperatingLeasesTables</ParentRole>
      <Position>96</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R97.htm</HtmlFileName>
      <LongName>99941102 - Disclosure - Operating Leases - Future minimum payments (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureOperatingLeasesFutureMinimumPaymentsDetails</Role>
      <ShortName>Operating Leases - Future minimum payments (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>97</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R98.htm</HtmlFileName>
      <LongName>99941301 - Disclosure - Mezzanine Equity and Stockholders' Equity (Deficit) - Authorized Shares (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitAuthorizedSharesDetails</Role>
      <ShortName>Mezzanine Equity and Stockholders' Equity (Deficit) - Authorized Shares (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitTables</ParentRole>
      <Position>98</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R99.htm</HtmlFileName>
      <LongName>99941302 - Disclosure - Mezzanine Equity and Stockholders' Equity (Deficit) - Convertible Preferred Stock (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitConvertiblePreferredStockDetails</Role>
      <ShortName>Mezzanine Equity and Stockholders' Equity (Deficit) - Convertible Preferred Stock (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitTables</ParentRole>
      <Position>99</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R100.htm</HtmlFileName>
      <LongName>99941303 - Disclosure - Mezzanine Equity and Stockholders' Equity (Deficit) - Preferred Stock-Dividends (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitPreferredStockDividendsDetails</Role>
      <ShortName>Mezzanine Equity and Stockholders' Equity (Deficit) - Preferred Stock-Dividends (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitTables</ParentRole>
      <Position>100</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R101.htm</HtmlFileName>
      <LongName>99941304 - Disclosure - Mezzanine Equity and Stockholders' Equity (Deficit) - Voting Rights (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitVotingRightsDetails</Role>
      <ShortName>Mezzanine Equity and Stockholders' Equity (Deficit) - Voting Rights (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitTables</ParentRole>
      <Position>101</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R102.htm</HtmlFileName>
      <LongName>99941305 - Disclosure - Mezzanine Equity and Stockholders' Equity (Deficit) - Conversion Rights (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitConversionRightsDetails</Role>
      <ShortName>Mezzanine Equity and Stockholders' Equity (Deficit) - Conversion Rights (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitTables</ParentRole>
      <Position>102</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R103.htm</HtmlFileName>
      <LongName>99941306 - Disclosure - Mezzanine Equity and Stockholders' Equity (Deficit) - Protective Provisions (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitProtectiveProvisionsDetails</Role>
      <ShortName>Mezzanine Equity and Stockholders' Equity (Deficit) - Protective Provisions (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitTables</ParentRole>
      <Position>103</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R104.htm</HtmlFileName>
      <LongName>99941307 - Disclosure - Mezzanine Equity and Stockholders' Equity (Deficit) - Common Stock (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitCommonStockDetails</Role>
      <ShortName>Mezzanine Equity and Stockholders' Equity (Deficit) - Common Stock (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitTables</ParentRole>
      <Position>104</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R105.htm</HtmlFileName>
      <LongName>99941308 - Disclosure - Mezzanine Equity and Stockholders' Equity (Deficit) - Number of shares outstanding (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitNumberOfSharesOutstandingDetails</Role>
      <ShortName>Mezzanine Equity and Stockholders' Equity (Deficit) - Number of shares outstanding (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitTables</ParentRole>
      <Position>105</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R106.htm</HtmlFileName>
      <LongName>99941309 - Disclosure - Mezzanine Equity and Stockholders' Equity (Deficit) - Company's reserved common stock (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitCompanySReservedCommonStockDetails</Role>
      <ShortName>Mezzanine Equity and Stockholders' Equity (Deficit) - Company's reserved common stock (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureMezzanineEquityAndStockholdersEquityDeficitTables</ParentRole>
      <Position>106</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R107.htm</HtmlFileName>
      <LongName>99941401 - Disclosure - Stock-Based Compensation - 2012 Stock Stock Incentive Plan (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureStockBasedCompensation2012StockStockIncentivePlanDetails</Role>
      <ShortName>Stock-Based Compensation - 2012 Stock Stock Incentive Plan (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>107</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R108.htm</HtmlFileName>
      <LongName>99941402 - Disclosure - Stock-Based Compensation - 2022 Stock Incentive Plan (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureStockBasedCompensation2022StockIncentivePlanDetails</Role>
      <ShortName>Stock-Based Compensation - 2022 Stock Incentive Plan (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>108</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R109.htm</HtmlFileName>
      <LongName>99941403 - Disclosure - Stock-Based Compensation - Stock Option Activity (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureStockBasedCompensationStockOptionActivityDetails</Role>
      <ShortName>Stock-Based Compensation - Stock Option Activity (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>109</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R110.htm</HtmlFileName>
      <LongName>99941404 - Disclosure - Stock-Based Compensation - Stock Based Compensation Expense (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureStockBasedCompensationStockBasedCompensationExpenseDetails</Role>
      <ShortName>Stock-Based Compensation - Stock Based Compensation Expense (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>110</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R111.htm</HtmlFileName>
      <LongName>99941405 - Disclosure - Stock-Based Compensation - 2024 Equity Incentive Plan (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureStockBasedCompensation2024EquityIncentivePlanDetails</Role>
      <ShortName>Stock-Based Compensation - 2024 Equity Incentive Plan (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>111</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R112.htm</HtmlFileName>
      <LongName>99941406 - Disclosure - Stock-Based Compensation - 2024 Key Employee Equity Incentive Plan (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureStockBasedCompensation2024KeyEmployeeEquityIncentivePlanDetails</Role>
      <ShortName>Stock-Based Compensation - 2024 Key Employee Equity Incentive Plan (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>112</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R113.htm</HtmlFileName>
      <LongName>99941407 - Disclosure - Stock-Based Compensation - 2024 ESPP (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureStockBasedCompensation2024EsppDetails</Role>
      <ShortName>Stock-Based Compensation - 2024 ESPP (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>113</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R114.htm</HtmlFileName>
      <LongName>99941501 - Disclosure - Earnings Per Share (EPS) - Basic and diluted net loss per share (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureEarningsPerShareEpsBasicAndDilutedNetLossPerShareDetails</Role>
      <ShortName>Earnings Per Share (EPS) - Basic and diluted net loss per share (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureEarningsPerShareEpsTables</ParentRole>
      <Position>114</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R115.htm</HtmlFileName>
      <LongName>99941502 - Disclosure - Earnings Per Share (EPS) - Diluted EPS (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureEarningsPerShareEpsDilutedEpsDetails</Role>
      <ShortName>Earnings Per Share (EPS) - Diluted EPS (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureEarningsPerShareEpsTables</ParentRole>
      <Position>115</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R116.htm</HtmlFileName>
      <LongName>99941503 - Disclosure - Earnings Per Share (EPS) - Potentially dilutive securities (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureEarningsPerShareEpsPotentiallyDilutiveSecuritiesDetails</Role>
      <ShortName>Earnings Per Share (EPS) - Potentially dilutive securities (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureEarningsPerShareEpsTables</ParentRole>
      <Position>116</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R117.htm</HtmlFileName>
      <LongName>99941601 - Disclosure - Income Taxes - Pretax loss from operations (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureIncomeTaxesPretaxLossFromOperationsDetails</Role>
      <ShortName>Income Taxes - Pretax loss from operations (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>117</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R118.htm</HtmlFileName>
      <LongName>99941602 - Disclosure - Income Taxes - Reconciliation of effective tax expense and rate (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureIncomeTaxesReconciliationOfEffectiveTaxExpenseAndRateDetails</Role>
      <ShortName>Income Taxes - Reconciliation of effective tax expense and rate (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>118</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R119.htm</HtmlFileName>
      <LongName>99941603 - Disclosure - Income Taxes - Deferred tax assets and liabilities (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureIncomeTaxesDeferredTaxAssetsAndLiabilitiesDetails</Role>
      <ShortName>Income Taxes - Deferred tax assets and liabilities (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>119</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R120.htm</HtmlFileName>
      <LongName>99941604 - Disclosure - Income Taxes (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureIncomeTaxesDetails</Role>
      <ShortName>Income Taxes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureIncomeTaxesTables</ParentRole>
      <Position>120</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R121.htm</HtmlFileName>
      <LongName>99941605 - Disclosure - Income Taxes - Unrecognized tax benefits (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureIncomeTaxesUnrecognizedTaxBenefitsDetails</Role>
      <ShortName>Income Taxes - Unrecognized tax benefits (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>121</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R122.htm</HtmlFileName>
      <LongName>99941606 - Disclosure - Income Taxes - Unrecognized tax benefits and TCJA (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureIncomeTaxesUnrecognizedTaxBenefitsAndTcjaDetails</Role>
      <ShortName>Income Taxes - Unrecognized tax benefits and TCJA (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>122</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R123.htm</HtmlFileName>
      <LongName>99941701 - Disclosure - Related Party Transactions - Shared Services Agreement (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureRelatedPartyTransactionsSharedServicesAgreementDetails</Role>
      <ShortName>Related Party Transactions - Shared Services Agreement (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>123</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R124.htm</HtmlFileName>
      <LongName>99941702 - Disclosure - Related Party Transactions - Laguna Hills Sublease (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureRelatedPartyTransactionsLagunaHillsSubleaseDetails</Role>
      <ShortName>Related Party Transactions - Laguna Hills Sublease (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>124</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R125.htm</HtmlFileName>
      <LongName>99941703 - Disclosure - Related Party Transactions - October 2022 Convertible Notes (Details)</LongName>
      <ReportType>Notes</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureRelatedPartyTransactionsOctober2022ConvertibleNotesDetails</Role>
      <ShortName>Related Party Transactions - October 2022 Convertible Notes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>125</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R126.htm</HtmlFileName>
      <LongName>99941704 - Disclosure - Related Party Transactions - Convertible Securities Notes (Details)</LongName>
      <ReportType>Notes</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureRelatedPartyTransactionsConvertibleSecuritiesNotesDetails</Role>
      <ShortName>Related Party Transactions - Convertible Securities Notes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>126</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R127.htm</HtmlFileName>
      <LongName>99941705 - Disclosure - Related Party Transactions - PIPE Financing (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureRelatedPartyTransactionsPipeFinancingDetails</Role>
      <ShortName>Related Party Transactions - PIPE Financing (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>127</Position>
    </Report>
    <Report instance="adgm-20251231x10k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R128.htm</HtmlFileName>
      <LongName>99941801 - Disclosure - Segment Reporting (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://perceptivelife.com/role/DisclosureSegmentReportingDetails</Role>
      <ShortName>Segment Reporting (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://perceptivelife.com/role/DisclosureSegmentReportingTables</ParentRole>
      <Position>128</Position>
    </Report>
    <Report>
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <LongName>All Reports</LongName>
      <ReportType>Book</ReportType>
      <ShortName>All Reports</ShortName>
    </Report>
  </MyReports>
  <InputFiles>
    <File>adgm-20251231.xsd</File>
    <File>adgm-20251231_cal.xml</File>
    <File>adgm-20251231_def.xml</File>
    <File>adgm-20251231_lab.xml</File>
    <File>adgm-20251231_pre.xml</File>
    <File doctype="10-K" isDefinitelyFs="true" isUsgaap="true" original="adgm-20251231x10k.htm">adgm-20251231x10k.htm</File>
  </InputFiles>
  <SupplementalFiles/>
  <BaseTaxonomies>
    <BaseTaxonomy items="954">http://fasb.org/us-gaap/2024</BaseTaxonomy>
    <BaseTaxonomy items="15">http://xbrl.sec.gov/cyd/2024</BaseTaxonomy>
    <BaseTaxonomy items="39">http://xbrl.sec.gov/dei/2024</BaseTaxonomy>
    <BaseTaxonomy items="5">http://xbrl.sec.gov/ecd/2024</BaseTaxonomy>
  </BaseTaxonomies>
  <HasPresentationLinkbase>true</HasPresentationLinkbase>
  <HasCalculationLinkbase>true</HasCalculationLinkbase>
</FilingSummary>
