<?xml version='1.0' encoding='utf-8'?>
<FilingSummary>
  <Version>3.26.1</Version>
  <ProcessingTime/>
  <ReportFormat>html</ReportFormat>
  <ContextCount>322</ContextCount>
  <ElementCount>347</ElementCount>
  <EntityCount>1</EntityCount>
  <FootnotesReported>true</FootnotesReported>
  <SegmentCount>67</SegmentCount>
  <ScenarioCount>0</ScenarioCount>
  <TuplesReported>false</TuplesReported>
  <UnitCount>11</UnitCount>
  <MyReports>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R1.htm</HtmlFileName>
      <LongName>111100090 - Document - Document And Entity Information</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DocumentDocumentAndEntityInformation</Role>
      <ShortName>Document And Entity Information</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>1</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R2.htm</HtmlFileName>
      <LongName>111100100 - Statement - CONDENSED BALANCE SHEETS</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementCondensedBalanceSheets</Role>
      <ShortName>CONDENSED BALANCE SHEETS</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>2</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R3.htm</HtmlFileName>
      <LongName>111100105 - Statement - CONDENSED BALANCE SHEETS (Parentheticals)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementCondensedBalanceSheetsParentheticals</Role>
      <ShortName>CONDENSED BALANCE SHEETS (Parentheticals)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>3</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R4.htm</HtmlFileName>
      <LongName>111100200 - Statement - CONDENSED STATEMENTS OF OPERATIONS</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementCondensedStatementsOfOperations</Role>
      <ShortName>CONDENSED STATEMENTS OF OPERATIONS</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>4</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R5.htm</HtmlFileName>
      <LongName>111100300 - Statement - CONDENSED STATEMENTS OF CHANGES IN SHAREHOLDERS' DEFICIT</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementCondensedStatementsOfChangesInShareholdersDeficit</Role>
      <ShortName>CONDENSED STATEMENTS OF CHANGES IN SHAREHOLDERS' DEFICIT</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>5</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R6.htm</HtmlFileName>
      <LongName>111100400 - Statement - CONDENSED STATEMENTS OF CASH FLOWS</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementCondensedStatementsOfCashFlows</Role>
      <ShortName>CONDENSED STATEMENTS OF CASH FLOWS</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>6</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R7.htm</HtmlFileName>
      <LongName>111110101 - Disclosure - Description of Organization and Business Operations</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureDescriptionOfOrganizationAndBusinessOperations</Role>
      <ShortName>Description of Organization and Business Operations</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>7</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R8.htm</HtmlFileName>
      <LongName>111110201 - Disclosure - Summary of Significant Accounting Policies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPolicies</Role>
      <ShortName>Summary of Significant Accounting Policies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>8</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R9.htm</HtmlFileName>
      <LongName>111110301 - Disclosure - Initial Public Offering</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureInitialPublicOffering</Role>
      <ShortName>Initial Public Offering</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>9</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R10.htm</HtmlFileName>
      <LongName>111110401 - Disclosure - Private Placement</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosurePrivatePlacement</Role>
      <ShortName>Private Placement</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>10</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R11.htm</HtmlFileName>
      <LongName>111110501 - Disclosure - Related Party Transactions</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureRelatedPartyTransactions</Role>
      <ShortName>Related Party Transactions</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>11</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R12.htm</HtmlFileName>
      <LongName>111110601 - Disclosure - Commitments and Contingencies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureCommitmentsAndContingencies</Role>
      <ShortName>Commitments and Contingencies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>12</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R13.htm</HtmlFileName>
      <LongName>111110701 - Disclosure - Shareholders' Deficit</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureShareholdersDeficit</Role>
      <ShortName>Shareholders' Deficit</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>13</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R14.htm</HtmlFileName>
      <LongName>111110801 - Disclosure - Fair Value Measurements</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureFairValueMeasurements</Role>
      <ShortName>Fair Value Measurements</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>14</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R15.htm</HtmlFileName>
      <LongName>111110901 - Disclosure - Segment Information</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSegmentInformation</Role>
      <ShortName>Segment Information</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>15</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R16.htm</HtmlFileName>
      <LongName>111111001 - Disclosure - Subsequent Events</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSubsequentEvents</Role>
      <ShortName>Subsequent Events</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>16</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R17.htm</HtmlFileName>
      <LongName>111120202 - Disclosure - Summary of Significant Accounting Policies (Policies)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesPolicies</Role>
      <ShortName>Summary of Significant Accounting Policies (Policies)</ShortName>
      <MenuCategory>Policies</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPolicies</ParentRole>
      <Position>17</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R18.htm</HtmlFileName>
      <LongName>111130203 - Disclosure - Summary of Significant Accounting Policies (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesTables</Role>
      <ShortName>Summary of Significant Accounting Policies (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPolicies</ParentRole>
      <Position>18</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R19.htm</HtmlFileName>
      <LongName>111130803 - Disclosure - Fair Value Measurements (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureFairValueMeasurementsTables</Role>
      <ShortName>Fair Value Measurements (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureFairValueMeasurements</ParentRole>
      <Position>19</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R20.htm</HtmlFileName>
      <LongName>111130903 - Disclosure - Segment Information (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSegmentInformationTables</Role>
      <ShortName>Segment Information (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSegmentInformation</ParentRole>
      <Position>20</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R21.htm</HtmlFileName>
      <LongName>111140101 - Disclosure - Description of Organization and Business Operations (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureDescriptionOfOrganizationAndBusinessOperationsDetails</Role>
      <ShortName>Description of Organization and Business Operations (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureDescriptionOfOrganizationAndBusinessOperations</ParentRole>
      <Position>21</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R22.htm</HtmlFileName>
      <LongName>111140201 - Disclosure - Summary of Significant Accounting Policies (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesDetails</Role>
      <ShortName>Summary of Significant Accounting Policies (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesTables</ParentRole>
      <Position>22</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R23.htm</HtmlFileName>
      <LongName>111140202 - Disclosure - Summary of Significant Accounting Policies - Schedule of Class A Ordinary Shares Subject to Possible Redemption Reflected in the Condensed Balance Sheets (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesScheduleOfClassOrdinarySharesSubjectToPossibleRedemptionReflectedInCondensedBalanceSheetsDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Schedule of Class A Ordinary Shares Subject to Possible Redemption Reflected in the Condensed Balance Sheets (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>23</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R24.htm</HtmlFileName>
      <LongName>111140203 - Disclosure - Summary of Significant Accounting Policies - Schedule of Basic and Diluted Net Income Per Ordinary Share (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesScheduleOfBasicAndDilutedNetIncomePerOrdinaryShareDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Schedule of Basic and Diluted Net Income Per Ordinary Share (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>24</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R25.htm</HtmlFileName>
      <LongName>111140301 - Disclosure - Initial Public Offering (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureInitialPublicOfferingDetails</Role>
      <ShortName>Initial Public Offering (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureInitialPublicOffering</ParentRole>
      <Position>25</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R26.htm</HtmlFileName>
      <LongName>111140401 - Disclosure - Private Placement (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosurePrivatePlacementDetails</Role>
      <ShortName>Private Placement (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosurePrivatePlacement</ParentRole>
      <Position>26</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R27.htm</HtmlFileName>
      <LongName>111140501 - Disclosure - Related Party Transactions (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureRelatedPartyTransactionsDetails</Role>
      <ShortName>Related Party Transactions (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureRelatedPartyTransactions</ParentRole>
      <Position>27</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R28.htm</HtmlFileName>
      <LongName>111140601 - Disclosure - Commitments and Contingencies (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureCommitmentsAndContingenciesDetails</Role>
      <ShortName>Commitments and Contingencies (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureCommitmentsAndContingencies</ParentRole>
      <Position>28</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R29.htm</HtmlFileName>
      <LongName>111140701 - Disclosure - Shareholders' Deficit (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureShareholdersDeficitDetails</Role>
      <ShortName>Shareholders' Deficit (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureShareholdersDeficit</ParentRole>
      <Position>29</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R30.htm</HtmlFileName>
      <LongName>111140801 - Disclosure - Fair Value Measurements (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureFairValueMeasurementsDetails</Role>
      <ShortName>Fair Value Measurements (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureFairValueMeasurementsTables</ParentRole>
      <Position>30</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R31.htm</HtmlFileName>
      <LongName>111140802 - Disclosure - Fair Value Measurements - Schedule of Interest Income from the Trust Account (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureFairValueMeasurementsScheduleOfInterestIncomeFromTrustAccountDetails</Role>
      <ShortName>Fair Value Measurements - Schedule of Interest Income from the Trust Account (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>31</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R32.htm</HtmlFileName>
      <LongName>111140901 - Disclosure - Segment Information (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSegmentInformationDetails</Role>
      <ShortName>Segment Information (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSegmentInformationTables</ParentRole>
      <Position>32</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R33.htm</HtmlFileName>
      <LongName>111140902 - Disclosure - Segment Information - Schedule of Segment Information (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSegmentInformationScheduleOfSegmentInformationDetails</Role>
      <ShortName>Segment Information - Schedule of Segment Information (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>33</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R34.htm</HtmlFileName>
      <LongName>11200100 - Statement - BALANCE SHEETS</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementBalanceSheets</Role>
      <ShortName>BALANCE SHEETS</ShortName>
      <MenuCategory>Uncategorized</MenuCategory>
      <Position>34</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R35.htm</HtmlFileName>
      <LongName>11200105 - Statement - BALANCE SHEETS (Parentheticals)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementBalanceSheetsParentheticals</Role>
      <ShortName>BALANCE SHEETS (Parentheticals)</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>35</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R36.htm</HtmlFileName>
      <LongName>11200200 - Statement - STATEMENTS OF OPERATIONS</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementStatementsOfOperations</Role>
      <ShortName>STATEMENTS OF OPERATIONS</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>36</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R37.htm</HtmlFileName>
      <LongName>11200205 - Statement - STATEMENTS OF OPERATIONS (Parentheticals)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementStatementsOfOperationsParentheticals</Role>
      <ShortName>STATEMENTS OF OPERATIONS (Parentheticals)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>37</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R38.htm</HtmlFileName>
      <LongName>11200300 - Statement - STATEMENTS OF CHANGES IN SHAREHOLDERS' DEFICIT</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementStatementsOfChangesInShareholdersDeficit</Role>
      <ShortName>STATEMENTS OF CHANGES IN SHAREHOLDERS' DEFICIT</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>38</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R39.htm</HtmlFileName>
      <LongName>11200305 - Statement - STATEMENTS OF CHANGES IN SHAREHOLDERS' DEFICIT (Parentheticals)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementStatementsOfChangesInShareholdersDeficitParentheticals</Role>
      <ShortName>STATEMENTS OF CHANGES IN SHAREHOLDERS' DEFICIT (Parentheticals)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>39</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R40.htm</HtmlFileName>
      <LongName>11200400 - Statement - CONDENSED STATEMENTS OF CASH FLOWS</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementCondensedStatementsOfCashFlowss</Role>
      <ShortName>CONDENSED STATEMENTS OF CASH FLOWS</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>40</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R41.htm</HtmlFileName>
      <LongName>11210101 - Disclosure - Description of Organization and Business Operations</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureDescriptionOfOrganizationAndBusinessOperationss</Role>
      <ShortName>Description of Organization and Business Operations</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>41</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R42.htm</HtmlFileName>
      <LongName>11210201 - Disclosure - Summary of Significant Accounting Policies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciess</Role>
      <ShortName>Summary of Significant Accounting Policies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>42</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R43.htm</HtmlFileName>
      <LongName>11210301 - Disclosure - Initial Public Offering</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureInitialPublicOfferings</Role>
      <ShortName>Initial Public Offering</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>43</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R44.htm</HtmlFileName>
      <LongName>11210401 - Disclosure - Private Placement</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosurePrivatePlacements</Role>
      <ShortName>Private Placement</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>44</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R45.htm</HtmlFileName>
      <LongName>11210501 - Disclosure - Related Party Transactions</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureRelatedPartyTransactionss</Role>
      <ShortName>Related Party Transactions</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>45</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R46.htm</HtmlFileName>
      <LongName>11210601 - Disclosure - Commitments and Contingencies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureCommitmentsAndContingenciess</Role>
      <ShortName>Commitments and Contingencies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>46</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R47.htm</HtmlFileName>
      <LongName>11210701 - Disclosure - Shareholders' Deficit</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureShareholdersDeficits</Role>
      <ShortName>Shareholders' Deficit</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>47</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R48.htm</HtmlFileName>
      <LongName>11210801 - Disclosure - Fair Value Measurements</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureFairValueMeasurementss</Role>
      <ShortName>Fair Value Measurements</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>48</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R49.htm</HtmlFileName>
      <LongName>11210901 - Disclosure - Segment Information</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSegmentInformations</Role>
      <ShortName>Segment Information</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>49</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R50.htm</HtmlFileName>
      <LongName>11211001 - Disclosure - Subsequent Events</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSubsequentEventss</Role>
      <ShortName>Subsequent Events</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>50</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R51.htm</HtmlFileName>
      <LongName>11220202 - Disclosure - Summary of Significant Accounting Policies (Policies)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesPoliciess</Role>
      <ShortName>Summary of Significant Accounting Policies (Policies)</ShortName>
      <MenuCategory>Policies</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPolicies</ParentRole>
      <Position>51</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R52.htm</HtmlFileName>
      <LongName>11230203 - Disclosure - Summary of Significant Accounting Policies (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesTabless</Role>
      <ShortName>Summary of Significant Accounting Policies (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPolicies</ParentRole>
      <Position>52</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R53.htm</HtmlFileName>
      <LongName>11230803 - Disclosure - Fair Value Measurements (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureFairValueMeasurementsTabless</Role>
      <ShortName>Fair Value Measurements (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureFairValueMeasurements</ParentRole>
      <Position>53</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R54.htm</HtmlFileName>
      <LongName>11230903 - Disclosure - Segment Information (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSegmentInformationTabless</Role>
      <ShortName>Segment Information (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSegmentInformation</ParentRole>
      <Position>54</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R55.htm</HtmlFileName>
      <LongName>11240101 - Disclosure - Description of Organization and Business Operations (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureDescriptionOfOrganizationAndBusinessOperationsDetailss</Role>
      <ShortName>Description of Organization and Business Operations (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureDescriptionOfOrganizationAndBusinessOperations</ParentRole>
      <Position>55</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R56.htm</HtmlFileName>
      <LongName>11240201 - Disclosure - Summary of Significant Accounting Policies (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesDetailss</Role>
      <ShortName>Summary of Significant Accounting Policies (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesTables</ParentRole>
      <Position>56</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R57.htm</HtmlFileName>
      <LongName>11240202 - Disclosure - Summary of Significant Accounting Policies - Schedule of Class A Ordinary Shares Subject to Possible Redemption Reflected in the Condensed Balance Sheets (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesScheduleOfClassOrdinarySharesSubjectToPossibleRedemptionReflectedInCondensedBalanceSheetsDetailss</Role>
      <ShortName>Summary of Significant Accounting Policies - Schedule of Class A Ordinary Shares Subject to Possible Redemption Reflected in the Condensed Balance Sheets (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>57</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R58.htm</HtmlFileName>
      <LongName>11240203 - Disclosure - Summary of Significant Accounting Policies - Schedule of Basic and Diluted Net Income Per Ordinary Share (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesScheduleOfBasicAndDilutedNetIncomePerOrdinaryShareDetailss</Role>
      <ShortName>Summary of Significant Accounting Policies - Schedule of Basic and Diluted Net Income Per Ordinary Share (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>58</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R59.htm</HtmlFileName>
      <LongName>11240301 - Disclosure - Initial Public Offering (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureInitialPublicOfferingDetailss</Role>
      <ShortName>Initial Public Offering (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureInitialPublicOffering</ParentRole>
      <Position>59</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R60.htm</HtmlFileName>
      <LongName>11240401 - Disclosure - Private Placement (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosurePrivatePlacementDetailss</Role>
      <ShortName>Private Placement (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosurePrivatePlacement</ParentRole>
      <Position>60</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R61.htm</HtmlFileName>
      <LongName>11240501 - Disclosure - Related Party Transactions (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureRelatedPartyTransactionsDetailss</Role>
      <ShortName>Related Party Transactions (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureRelatedPartyTransactions</ParentRole>
      <Position>61</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R62.htm</HtmlFileName>
      <LongName>11240601 - Disclosure - Commitments and Contingencies (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureCommitmentsAndContingenciesDetailss</Role>
      <ShortName>Commitments and Contingencies (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureCommitmentsAndContingencies</ParentRole>
      <Position>62</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R63.htm</HtmlFileName>
      <LongName>11240701 - Disclosure - Shareholders' Deficit (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureShareholdersDeficitDetailss</Role>
      <ShortName>Shareholders' Deficit (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureShareholdersDeficit</ParentRole>
      <Position>63</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R64.htm</HtmlFileName>
      <LongName>11240801 - Disclosure - Fair Value Measurements (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureFairValueMeasurementsDetailss</Role>
      <ShortName>Fair Value Measurements (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureFairValueMeasurementsTables</ParentRole>
      <Position>64</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R65.htm</HtmlFileName>
      <LongName>11240802 - Disclosure - Fair Value Measurements - Schedule of Interest Income from the Trust Account (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureFairValueMeasurementsScheduleOfInterestIncomeFromTrustAccountDetailss</Role>
      <ShortName>Fair Value Measurements - Schedule of Interest Income from the Trust Account (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>65</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R66.htm</HtmlFileName>
      <LongName>11240803 - Disclosure - Fair Value Measurements - Schedule of Quantitative Information Regarding Market Assumptions of Public Share Rights (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureFairValueMeasurementsScheduleOfQuantitativeInformationRegardingMarketAssumptionsOfPublicShareRightsDetails</Role>
      <ShortName>Fair Value Measurements - Schedule of Quantitative Information Regarding Market Assumptions of Public Share Rights (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>66</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R67.htm</HtmlFileName>
      <LongName>11240901 - Disclosure - Segment Information (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSegmentInformationDetailss</Role>
      <ShortName>Segment Information (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSegmentInformationTables</ParentRole>
      <Position>67</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R68.htm</HtmlFileName>
      <LongName>11240902 - Disclosure - Segment Information - Schedule of Segment Information (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSegmentInformationScheduleOfSegmentInformationDetailss</Role>
      <ShortName>Segment Information - Schedule of Segment Information (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>68</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R69.htm</HtmlFileName>
      <LongName>121200100 - Statement - BALANCE SHEET</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementBalanceSheet</Role>
      <ShortName>BALANCE SHEET</ShortName>
      <MenuCategory>Uncategorized</MenuCategory>
      <Position>69</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R70.htm</HtmlFileName>
      <LongName>121200105 - Statement - BALANCE SHEET (Parenthetical)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementBalanceSheetParenthetical</Role>
      <ShortName>BALANCE SHEET (Parenthetical)</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>70</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R71.htm</HtmlFileName>
      <LongName>121200200 - Statement - CONDENSED STATEMENT OF OPERATIONS</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementCondensedStatementOfOperations</Role>
      <ShortName>CONDENSED STATEMENT OF OPERATIONS</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>71</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R72.htm</HtmlFileName>
      <LongName>121200300 - Statement - CONDENSED STATEMENT OF CHANGES IN STOCKHOLDER'S EQUITY</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementCondensedStatementOfChangesInStockholderSEquity</Role>
      <ShortName>CONDENSED STATEMENT OF CHANGES IN STOCKHOLDER'S EQUITY</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>72</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R73.htm</HtmlFileName>
      <LongName>121200400 - Statement - CONDENSED STATEMENT OF CASH FLOWS</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementCondensedStatementOfCashFlows</Role>
      <ShortName>CONDENSED STATEMENT OF CASH FLOWS</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>73</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R74.htm</HtmlFileName>
      <LongName>121210101 - Disclosure - Organization</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureOrganization</Role>
      <ShortName>Organization</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>74</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R75.htm</HtmlFileName>
      <LongName>121210201 - Disclosure - Liquidity and Going Concern</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureLiquidityAndGoingConcern</Role>
      <ShortName>Liquidity and Going Concern</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>75</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R76.htm</HtmlFileName>
      <LongName>121210301 - Disclosure - Summary of Significant Accounting Policies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesss</Role>
      <ShortName>Summary of Significant Accounting Policies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>76</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R77.htm</HtmlFileName>
      <LongName>121210401 - Disclosure - Digital Assets</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureDigitalAssets</Role>
      <ShortName>Digital Assets</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>77</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R78.htm</HtmlFileName>
      <LongName>121210501 - Disclosure - Members' Equity</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureMembersEquity</Role>
      <ShortName>Members' Equity</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>78</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R79.htm</HtmlFileName>
      <LongName>121210601 - Disclosure - Related Party Transactions</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureRelatedPartyTransactionsss</Role>
      <ShortName>Related Party Transactions</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>79</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R80.htm</HtmlFileName>
      <LongName>121210701 - Disclosure - Fair Value Measurements</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureFairValueMeasurementsss</Role>
      <ShortName>Fair Value Measurements</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>80</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R81.htm</HtmlFileName>
      <LongName>121210801 - Disclosure - Staking Revenue</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureStakingRevenue</Role>
      <ShortName>Staking Revenue</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>81</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R82.htm</HtmlFileName>
      <LongName>121210901 - Disclosure - Commitments and Contingencies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureCommitmentsAndContingenciesss</Role>
      <ShortName>Commitments and Contingencies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>82</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R83.htm</HtmlFileName>
      <LongName>121211001 - Disclosure - Subsequent Events</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSubsequentEventsss</Role>
      <ShortName>Subsequent Events</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>83</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R84.htm</HtmlFileName>
      <LongName>121220302 - Disclosure - Summary of Significant Accounting Policies (Policies)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesPoliciesss</Role>
      <ShortName>Summary of Significant Accounting Policies (Policies)</ShortName>
      <MenuCategory>Policies</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPolicies</ParentRole>
      <Position>84</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R85.htm</HtmlFileName>
      <LongName>121230303 - Disclosure - Summary of Significant Accounting Policies (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesTablesss</Role>
      <ShortName>Summary of Significant Accounting Policies (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPolicies</ParentRole>
      <Position>85</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R86.htm</HtmlFileName>
      <LongName>121230403 - Disclosure - Digital Assets (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureDigitalAssetsTables</Role>
      <ShortName>Digital Assets (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureDigitalAssets</ParentRole>
      <Position>86</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R87.htm</HtmlFileName>
      <LongName>121230703 - Disclosure - Fair Value Measurements (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureFairValueMeasurementsTablesss</Role>
      <ShortName>Fair Value Measurements (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureFairValueMeasurements</ParentRole>
      <Position>87</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R88.htm</HtmlFileName>
      <LongName>121240101 - Disclosure - Organization (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureOrganizationDetails</Role>
      <ShortName>Organization (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureOrganization</ParentRole>
      <Position>88</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R89.htm</HtmlFileName>
      <LongName>121240201 - Disclosure - Liquidity and Going Concern (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureLiquidityAndGoingConcernDetails</Role>
      <ShortName>Liquidity and Going Concern (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureLiquidityAndGoingConcern</ParentRole>
      <Position>89</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R90.htm</HtmlFileName>
      <LongName>121240301 - Disclosure - Summary of Significant Accounting Policies (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesDetailsss</Role>
      <ShortName>Summary of Significant Accounting Policies (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesTables</ParentRole>
      <Position>90</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R91.htm</HtmlFileName>
      <LongName>121240302 - Disclosure - Summary of Significant Accounting Policies - Computation of basic and diluted net income per common stock (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesComputationOfBasicAndDilutedNetIncomePerCommonStockDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Computation of basic and diluted net income per common stock (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>91</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R92.htm</HtmlFileName>
      <LongName>121240303 - Disclosure - Summary of Significant Accounting Policies - Concentration of Credit Risk (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesConcentrationOfCreditRiskDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Concentration of Credit Risk (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>92</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R93.htm</HtmlFileName>
      <LongName>121240304 - Disclosure - Summary of Significant Accounting Policies - Digital Assets (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesDigitalAssetsDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Digital Assets (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>93</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R94.htm</HtmlFileName>
      <LongName>121240305 - Disclosure - Summary of Significant Accounting Policies - Staking Rewards (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesStakingRewardsDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Staking Rewards (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>94</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R95.htm</HtmlFileName>
      <LongName>121240306 - Disclosure - Summary of Significant Accounting Policies - Restrictions on AVAX (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesRestrictionsOnAvaxDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Restrictions on AVAX (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>95</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R96.htm</HtmlFileName>
      <LongName>121240307 - Disclosure - Summary of Significant Accounting Policies - Token Sale Liability (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesTokenSaleLiabilityDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Token Sale Liability (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>96</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R97.htm</HtmlFileName>
      <LongName>121240308 - Disclosure - Summary of Significant Accounting Policies - Subscription Receivable (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesSubscriptionReceivableDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Subscription Receivable (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>97</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R98.htm</HtmlFileName>
      <LongName>121240309 - Disclosure - Summary of Significant Accounting Policies - Deferred Transaction Costs (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesDeferredTransactionCostsDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Deferred Transaction Costs (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>98</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R99.htm</HtmlFileName>
      <LongName>121240310 - Disclosure - Summary of Significant Accounting Policies - Income taxes (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesIncomeTaxesDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Income taxes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>99</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R100.htm</HtmlFileName>
      <LongName>121240401 - Disclosure - Digital Assets (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureDigitalAssetsDetails</Role>
      <ShortName>Digital Assets (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureDigitalAssetsTables</ParentRole>
      <Position>100</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R101.htm</HtmlFileName>
      <LongName>121240402 - Disclosure - Digital Assets - Roll forward (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureDigitalAssetsRollForwardDetails</Role>
      <ShortName>Digital Assets - Roll forward (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>101</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R102.htm</HtmlFileName>
      <LongName>121240501 - Disclosure - Members' Equity (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureMembersEquityDetails</Role>
      <ShortName>Members' Equity (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureMembersEquity</ParentRole>
      <Position>102</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R103.htm</HtmlFileName>
      <LongName>121240601 - Disclosure - Related Party Transactions (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureRelatedPartyTransactionsDetailsss</Role>
      <ShortName>Related Party Transactions (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureRelatedPartyTransactions</ParentRole>
      <Position>103</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R104.htm</HtmlFileName>
      <LongName>121240602 - Disclosure - Related Party Transactions - Loan agreements and Due From Related Party (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureRelatedPartyTransactionsLoanAgreementsAndDueFromRelatedPartyDetails</Role>
      <ShortName>Related Party Transactions - Loan agreements and Due From Related Party (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>104</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R105.htm</HtmlFileName>
      <LongName>121240701 - Disclosure - Fair Value Measurements (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureFairValueMeasurementsDetailsss</Role>
      <ShortName>Fair Value Measurements (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureFairValueMeasurementsTables</ParentRole>
      <Position>105</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R106.htm</HtmlFileName>
      <LongName>121240801 - Disclosure - Staking Revenue (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureStakingRevenueDetails</Role>
      <ShortName>Staking Revenue (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureStakingRevenue</ParentRole>
      <Position>106</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R107.htm</HtmlFileName>
      <LongName>121240901 - Disclosure - Commitments and Contingencies - Business Combination Agreement (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureCommitmentsAndContingenciesBusinessCombinationAgreementDetails</Role>
      <ShortName>Commitments and Contingencies - Business Combination Agreement (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>107</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R108.htm</HtmlFileName>
      <LongName>121240903 - Disclosure - Commitments and Contingencies - Contribution, Asset Purchase, and Token Sale Agreements (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureCommitmentsAndContingenciesContributionAssetPurchaseAndTokenSaleAgreementsDetails</Role>
      <ShortName>Commitments and Contingencies - Contribution, Asset Purchase, and Token Sale Agreements (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>108</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R109.htm</HtmlFileName>
      <LongName>121240904 - Disclosure - Commitments and Contingencies - Contingent Transaction Fees (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureCommitmentsAndContingenciesContingentTransactionFeesDetails</Role>
      <ShortName>Commitments and Contingencies - Contingent Transaction Fees (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>109</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R110.htm</HtmlFileName>
      <LongName>121241001 - Disclosure - Subsequent Events (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSubsequentEventsDetails</Role>
      <ShortName>Subsequent Events (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSubsequentEvents</ParentRole>
      <Position>110</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R111.htm</HtmlFileName>
      <LongName>122200100 - Statement - BALANCE SHEET</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementBalanceSheetss</Role>
      <ShortName>BALANCE SHEET</ShortName>
      <MenuCategory>Uncategorized</MenuCategory>
      <Position>111</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R112.htm</HtmlFileName>
      <LongName>122200105 - Statement - BALANCE SHEET (Parenthetical)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementBalanceSheetParentheticals</Role>
      <ShortName>BALANCE SHEET (Parenthetical)</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>112</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R113.htm</HtmlFileName>
      <LongName>122200200 - Statement - STATEMENT OF OPERATIONS</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementStatementOfOperations</Role>
      <ShortName>STATEMENT OF OPERATIONS</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>113</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R114.htm</HtmlFileName>
      <LongName>122200300 - Statement - STATEMENT OF CHANGES IN MEMBERS' EQUITY</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementStatementOfChangesInMembersEquity</Role>
      <ShortName>STATEMENT OF CHANGES IN MEMBERS' EQUITY</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>114</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R115.htm</HtmlFileName>
      <LongName>122200400 - Statement - STATEMENT OF CASH FLOWS</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementStatementOfCashFlows</Role>
      <ShortName>STATEMENT OF CASH FLOWS</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>115</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R116.htm</HtmlFileName>
      <LongName>122210101 - Disclosure - Organization</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureOrganizations</Role>
      <ShortName>Organization</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>116</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R117.htm</HtmlFileName>
      <LongName>122210201 - Disclosure - Liquidity and Going Concern</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureLiquidityAndGoingConcerns</Role>
      <ShortName>Liquidity and Going Concern</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>117</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R118.htm</HtmlFileName>
      <LongName>122210301 - Disclosure - Voluntary Revision of Financial Statements</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureVoluntaryRevisionOfFinancialStatements</Role>
      <ShortName>Voluntary Revision of Financial Statements</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>118</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R119.htm</HtmlFileName>
      <LongName>122210401 - Disclosure - Summary of Significant Accounting Policies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciessss</Role>
      <ShortName>Summary of Significant Accounting Policies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>119</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R120.htm</HtmlFileName>
      <LongName>122210501 - Disclosure - Digital Assets</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureDigitalAssetss</Role>
      <ShortName>Digital Assets</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>120</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R121.htm</HtmlFileName>
      <LongName>122210601 - Disclosure - Members' Equity</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureMembersEquitys</Role>
      <ShortName>Members' Equity</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>121</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R122.htm</HtmlFileName>
      <LongName>122210701 - Disclosure - Related Party Transactions</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureRelatedPartyTransactionssss</Role>
      <ShortName>Related Party Transactions</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>122</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R123.htm</HtmlFileName>
      <LongName>122210801 - Disclosure - Fair Value Measurements</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureFairValueMeasurementssss</Role>
      <ShortName>Fair Value Measurements</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>123</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R124.htm</HtmlFileName>
      <LongName>122210901 - Disclosure - Staking Revenue</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureStakingRevenues</Role>
      <ShortName>Staking Revenue</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>124</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R125.htm</HtmlFileName>
      <LongName>122211001 - Disclosure - Commitments and Contingencies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureCommitmentsAndContingenciessss</Role>
      <ShortName>Commitments and Contingencies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>125</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R126.htm</HtmlFileName>
      <LongName>122211101 - Disclosure - Subsequent Events</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSubsequentEventssss</Role>
      <ShortName>Subsequent Events</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>126</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R127.htm</HtmlFileName>
      <LongName>122220402 - Disclosure - Summary of Significant Accounting Policies (Policies)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesPoliciessss</Role>
      <ShortName>Summary of Significant Accounting Policies (Policies)</ShortName>
      <MenuCategory>Policies</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPolicies</ParentRole>
      <Position>127</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R128.htm</HtmlFileName>
      <LongName>122230403 - Disclosure - Summary of Significant Accounting Policies (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesTablessss</Role>
      <ShortName>Summary of Significant Accounting Policies (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPolicies</ParentRole>
      <Position>128</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R129.htm</HtmlFileName>
      <LongName>122230503 - Disclosure - Digital Assets (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureDigitalAssetsTabless</Role>
      <ShortName>Digital Assets (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureDigitalAssets</ParentRole>
      <Position>129</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R130.htm</HtmlFileName>
      <LongName>122230803 - Disclosure - Fair Value Measurements (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureFairValueMeasurementsTablessss</Role>
      <ShortName>Fair Value Measurements (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureFairValueMeasurements</ParentRole>
      <Position>130</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R131.htm</HtmlFileName>
      <LongName>122240101 - Disclosure - Organization (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureOrganizationDetailss</Role>
      <ShortName>Organization (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureOrganization</ParentRole>
      <Position>131</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R132.htm</HtmlFileName>
      <LongName>122240201 - Disclosure - Liquidity and Going Concern (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureLiquidityAndGoingConcernDetailss</Role>
      <ShortName>Liquidity and Going Concern (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureLiquidityAndGoingConcern</ParentRole>
      <Position>132</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R133.htm</HtmlFileName>
      <LongName>122240301 - Disclosure - Voluntary Revision of Financial Statements (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureVoluntaryRevisionOfFinancialStatementsDetails</Role>
      <ShortName>Voluntary Revision of Financial Statements (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureVoluntaryRevisionOfFinancialStatements</ParentRole>
      <Position>133</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R134.htm</HtmlFileName>
      <LongName>122240401 - Disclosure - Summary of Significant Accounting Policies (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesDetailssss</Role>
      <ShortName>Summary of Significant Accounting Policies (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesTables</ParentRole>
      <Position>134</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R135.htm</HtmlFileName>
      <LongName>122240402 - Disclosure - Summary of Significant Accounting Policies - Concentration of Credit Risk (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesConcentrationOfCreditRiskDetailss</Role>
      <ShortName>Summary of Significant Accounting Policies - Concentration of Credit Risk (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>135</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R136.htm</HtmlFileName>
      <LongName>122240403 - Disclosure - Summary of Significant Accounting Policies - Digital Assets (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesDigitalAssetsDetailss</Role>
      <ShortName>Summary of Significant Accounting Policies - Digital Assets (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>136</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R137.htm</HtmlFileName>
      <LongName>122240404 - Disclosure - Summary of Significant Accounting Policies - Staking Rewards (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesStakingRewardsDetailss</Role>
      <ShortName>Summary of Significant Accounting Policies - Staking Rewards (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>137</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R138.htm</HtmlFileName>
      <LongName>122240405 - Disclosure - Summary of Significant Accounting Policies - Restrictions on AVAX (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesRestrictionsOnAvaxDetailss</Role>
      <ShortName>Summary of Significant Accounting Policies - Restrictions on AVAX (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>138</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R139.htm</HtmlFileName>
      <LongName>122240406 - Disclosure - Summary of Significant Accounting Policies - Token Sale Liability (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesTokenSaleLiabilityDetailss</Role>
      <ShortName>Summary of Significant Accounting Policies - Token Sale Liability (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>139</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R140.htm</HtmlFileName>
      <LongName>122240407 - Disclosure - Summary of Significant Accounting Policies - Subscription Receivable (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesSubscriptionReceivableDetailss</Role>
      <ShortName>Summary of Significant Accounting Policies - Subscription Receivable (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>140</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R141.htm</HtmlFileName>
      <LongName>122240408 - Disclosure - Summary of Significant Accounting Policies - Computation of basic and diluted net income per common stock (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesComputationOfBasicAndDilutedNetIncomePerCommonStockDetailss</Role>
      <ShortName>Summary of Significant Accounting Policies - Computation of basic and diluted net income per common stock (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>141</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R142.htm</HtmlFileName>
      <LongName>122240409 - Disclosure - Summary of Significant Accounting Policies - Deferred Transaction Costs (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesDeferredTransactionCostsDetailss</Role>
      <ShortName>Summary of Significant Accounting Policies - Deferred Transaction Costs (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>142</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R143.htm</HtmlFileName>
      <LongName>122240410 - Disclosure - Summary of Significant Accounting Policies - Income taxes (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesIncomeTaxesDetailss</Role>
      <ShortName>Summary of Significant Accounting Policies - Income taxes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>143</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R144.htm</HtmlFileName>
      <LongName>122240501 - Disclosure - Digital Assets (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureDigitalAssetsDetailss</Role>
      <ShortName>Digital Assets (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureDigitalAssetsTables</ParentRole>
      <Position>144</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R145.htm</HtmlFileName>
      <LongName>122240502 - Disclosure - Digital Assets - Roll forward (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureDigitalAssetsRollForwardDetailss</Role>
      <ShortName>Digital Assets - Roll forward (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>145</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R146.htm</HtmlFileName>
      <LongName>122240601 - Disclosure - Members' Equity (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureMembersEquityDetailss</Role>
      <ShortName>Members' Equity (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureMembersEquity</ParentRole>
      <Position>146</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R147.htm</HtmlFileName>
      <LongName>122240701 - Disclosure - Related Party Transactions - Loan agreements and Due From Related Party (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureRelatedPartyTransactionsLoanAgreementsAndDueFromRelatedPartyDetailss</Role>
      <ShortName>Related Party Transactions - Loan agreements and Due From Related Party (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>147</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R148.htm</HtmlFileName>
      <LongName>122240801 - Disclosure - Fair Value Measurements (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureFairValueMeasurementsDetailssss</Role>
      <ShortName>Fair Value Measurements (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureFairValueMeasurementsTables</ParentRole>
      <Position>148</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R149.htm</HtmlFileName>
      <LongName>122240901 - Disclosure - Staking Revenue (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureStakingRevenueDetailss</Role>
      <ShortName>Staking Revenue (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureStakingRevenue</ParentRole>
      <Position>149</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R150.htm</HtmlFileName>
      <LongName>122241001 - Disclosure - Commitments and Contingencies - Business Combination Agreement (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureCommitmentsAndContingenciesBusinessCombinationAgreementDetailss</Role>
      <ShortName>Commitments and Contingencies - Business Combination Agreement (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>150</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R151.htm</HtmlFileName>
      <LongName>122241002 - Disclosure - Commitments and Contingencies - Contribution, Asset Purchase, and Token Sale Agreements (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureCommitmentsAndContingenciesContributionAssetPurchaseAndTokenSaleAgreementsDetailss</Role>
      <ShortName>Commitments and Contingencies - Contribution, Asset Purchase, and Token Sale Agreements (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>151</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R152.htm</HtmlFileName>
      <LongName>122241003 - Disclosure - Commitments and Contingencies - Contingent Transaction Fees (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureCommitmentsAndContingenciesContingentTransactionFeesDetailss</Role>
      <ShortName>Commitments and Contingencies - Contingent Transaction Fees (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>152</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R153.htm</HtmlFileName>
      <LongName>122241101 - Disclosure - Subsequent Events (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSubsequentEventsDetailss</Role>
      <ShortName>Subsequent Events (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSubsequentEvents</ParentRole>
      <Position>153</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R154.htm</HtmlFileName>
      <LongName>21210401 - Disclosure - Stockholder's Deficit</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureStockholderSDeficit</Role>
      <ShortName>Stockholder's Deficit</ShortName>
      <MenuCategory>Uncategorized</MenuCategory>
      <Position>154</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R155.htm</HtmlFileName>
      <LongName>21210701 - Disclosure - Segment Information</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSegmentInformationss</Role>
      <ShortName>Segment Information</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>155</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R156.htm</HtmlFileName>
      <LongName>21230703 - Disclosure - Segment Information (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSegmentInformationTablesss</Role>
      <ShortName>Segment Information (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSegmentInformation</ParentRole>
      <Position>156</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R157.htm</HtmlFileName>
      <LongName>21240308 - Disclosure - Summary of Significant Accounting Policies - Subscription Receivable (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesSubscriptionReceivableDetailsss</Role>
      <ShortName>Summary of Significant Accounting Policies - Subscription Receivable (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>157</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R158.htm</HtmlFileName>
      <LongName>21240309 - Disclosure - Summary of Significant Accounting Policies - Deferred Transaction Costs (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesDeferredTransactionCostsDetailsss</Role>
      <ShortName>Summary of Significant Accounting Policies - Deferred Transaction Costs (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>158</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R159.htm</HtmlFileName>
      <LongName>21240310 - Disclosure - Summary of Significant Accounting Policies - Income taxes (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesIncomeTaxesDetailsss</Role>
      <ShortName>Summary of Significant Accounting Policies - Income taxes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>159</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R160.htm</HtmlFileName>
      <LongName>21240401 - Disclosure - Stockholder's Deficit (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureStockholderSDeficitDetails</Role>
      <ShortName>Stockholder's Deficit (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>160</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R161.htm</HtmlFileName>
      <LongName>21240501 - Disclosure - Related Party Transactions (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureRelatedPartyTransactionsDetailssss</Role>
      <ShortName>Related Party Transactions (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureRelatedPartyTransactions</ParentRole>
      <Position>161</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R162.htm</HtmlFileName>
      <LongName>21240602 - Disclosure - Commitments and Contingencies - Subscription Agreement (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureCommitmentsAndContingenciesSubscriptionAgreementDetailss</Role>
      <ShortName>Commitments and Contingencies - Subscription Agreement (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>162</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R163.htm</HtmlFileName>
      <LongName>21240701 - Disclosure - Segment Information - CODM Key metrics (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSegmentInformationCodmKeyMetricsDetails</Role>
      <ShortName>Segment Information - CODM Key metrics (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>163</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R164.htm</HtmlFileName>
      <LongName>22200100 - Statement - BALANCE SHEET</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementBalanceSheetsss</Role>
      <ShortName>BALANCE SHEET</ShortName>
      <MenuCategory>Uncategorized</MenuCategory>
      <Position>164</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R165.htm</HtmlFileName>
      <LongName>22200105 - Statement - BALANCE SHEET (Parenthetical)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementBalanceSheetParentheticalss</Role>
      <ShortName>BALANCE SHEET (Parenthetical)</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>165</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R166.htm</HtmlFileName>
      <LongName>22200200 - Statement - CONDENSED STATEMENT OF OPERATIONS</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementCondensedStatementOfOperationss</Role>
      <ShortName>CONDENSED STATEMENT OF OPERATIONS</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>166</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R167.htm</HtmlFileName>
      <LongName>22200300 - Statement - CONDENSED STATEMENT OF CHANGES IN STOCKHOLDER'S EQUITY</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementCondensedStatementOfChangesInStockholderSEquitys</Role>
      <ShortName>CONDENSED STATEMENT OF CHANGES IN STOCKHOLDER'S EQUITY</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>167</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R168.htm</HtmlFileName>
      <LongName>22200400 - Statement - CONDENSED STATEMENT OF CASH FLOWS</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/StatementCondensedStatementOfCashFlowss</Role>
      <ShortName>CONDENSED STATEMENT OF CASH FLOWS</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>168</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R169.htm</HtmlFileName>
      <LongName>22210101 - Disclosure - Organization</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureOrganizationss</Role>
      <ShortName>Organization</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>169</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R170.htm</HtmlFileName>
      <LongName>22210201 - Disclosure - Liquidity and Going Concern</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureLiquidityAndGoingConcernss</Role>
      <ShortName>Liquidity and Going Concern</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>170</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R171.htm</HtmlFileName>
      <LongName>22210301 - Disclosure - Summary of Significant Accounting Policies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesssss</Role>
      <ShortName>Summary of Significant Accounting Policies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>171</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R172.htm</HtmlFileName>
      <LongName>22210401 - Disclosure - Stockholder's Deficit</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureStockholderSDeficits</Role>
      <ShortName>Stockholder's Deficit</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>172</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R173.htm</HtmlFileName>
      <LongName>22210501 - Disclosure - Related Party Transactions</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureRelatedPartyTransactionsssss</Role>
      <ShortName>Related Party Transactions</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>173</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R174.htm</HtmlFileName>
      <LongName>22210601 - Disclosure - Commitments and Contingencies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureCommitmentsAndContingenciesssss</Role>
      <ShortName>Commitments and Contingencies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>174</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R175.htm</HtmlFileName>
      <LongName>22210701 - Disclosure - Segment Information</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSegmentInformationsss</Role>
      <ShortName>Segment Information</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>175</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R176.htm</HtmlFileName>
      <LongName>22210801 - Disclosure - Income Taxes</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureIncomeTaxes</Role>
      <ShortName>Income Taxes</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>176</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R177.htm</HtmlFileName>
      <LongName>22210901 - Disclosure - Subsequent Events</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSubsequentEventsssss</Role>
      <ShortName>Subsequent Events</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>177</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R178.htm</HtmlFileName>
      <LongName>22220302 - Disclosure - Summary of Significant Accounting Policies (Policies)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesPoliciesssss</Role>
      <ShortName>Summary of Significant Accounting Policies (Policies)</ShortName>
      <MenuCategory>Policies</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPolicies</ParentRole>
      <Position>178</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R179.htm</HtmlFileName>
      <LongName>22230303 - Disclosure - Summary of Significant Accounting Policies (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesTablesssss</Role>
      <ShortName>Summary of Significant Accounting Policies (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPolicies</ParentRole>
      <Position>179</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R180.htm</HtmlFileName>
      <LongName>22230703 - Disclosure - Segment Information (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSegmentInformationTablessss</Role>
      <ShortName>Segment Information (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSegmentInformation</ParentRole>
      <Position>180</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R181.htm</HtmlFileName>
      <LongName>22230803 - Disclosure - Income Taxes (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureIncomeTaxesTables</Role>
      <ShortName>Income Taxes (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureIncomeTaxes</ParentRole>
      <Position>181</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R182.htm</HtmlFileName>
      <LongName>22240201 - Disclosure - Liquidity and Going Concern (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureLiquidityAndGoingConcernDetailsss</Role>
      <ShortName>Liquidity and Going Concern (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureLiquidityAndGoingConcern</ParentRole>
      <Position>182</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R183.htm</HtmlFileName>
      <LongName>22240301 - Disclosure - Summary of Significant Accounting Policies (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesDetailsssss</Role>
      <ShortName>Summary of Significant Accounting Policies (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesTables</ParentRole>
      <Position>183</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R184.htm</HtmlFileName>
      <LongName>22240302 - Disclosure - Summary of Significant Accounting Policies - Computation of basic and diluted net income per common stock (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSummaryOfSignificantAccountingPoliciesComputationOfBasicAndDilutedNetIncomePerCommonStockDetailsss</Role>
      <ShortName>Summary of Significant Accounting Policies - Computation of basic and diluted net income per common stock (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>184</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R185.htm</HtmlFileName>
      <LongName>22240401 - Disclosure - Stockholder's Deficit (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureStockholderSDeficitDetailss</Role>
      <ShortName>Stockholder's Deficit (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureStockholderSDeficits</ParentRole>
      <Position>185</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R186.htm</HtmlFileName>
      <LongName>22240501 - Disclosure - Related Party Transactions (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureRelatedPartyTransactionsDetailsssss</Role>
      <ShortName>Related Party Transactions (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureRelatedPartyTransactions</ParentRole>
      <Position>186</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R187.htm</HtmlFileName>
      <LongName>22240601 - Disclosure - Commitments and Contingencies - Business Combination Agreement (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureCommitmentsAndContingenciesBusinessCombinationAgreementDetailsss</Role>
      <ShortName>Commitments and Contingencies - Business Combination Agreement (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>187</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R188.htm</HtmlFileName>
      <LongName>22240602 - Disclosure - Commitments and Contingencies - Subscription Agreement (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureCommitmentsAndContingenciesSubscriptionAgreementDetailsss</Role>
      <ShortName>Commitments and Contingencies - Subscription Agreement (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>188</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R189.htm</HtmlFileName>
      <LongName>22240603 - Disclosure - Commitments and Contingencies - Contribution, Asset Purchase, and Token Sale Agreements (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureCommitmentsAndContingenciesContributionAssetPurchaseAndTokenSaleAgreementsDetailsss</Role>
      <ShortName>Commitments and Contingencies - Contribution, Asset Purchase, and Token Sale Agreements (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>189</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R190.htm</HtmlFileName>
      <LongName>22240604 - Disclosure - Commitments and Contingencies - Contingent Transaction Fees (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureCommitmentsAndContingenciesContingentTransactionFeesDetailsss</Role>
      <ShortName>Commitments and Contingencies - Contingent Transaction Fees (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>190</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R191.htm</HtmlFileName>
      <LongName>22240701 - Disclosure - Segment Information - CODM Key metrics (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSegmentInformationCodmKeyMetricsDetailss</Role>
      <ShortName>Segment Information - CODM Key metrics (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>191</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R192.htm</HtmlFileName>
      <LongName>22240801 - Disclosure - Income Taxes - Income (Loss) Before Income Taxes (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureIncomeTaxesIncomeLossBeforeIncomeTaxesDetails</Role>
      <ShortName>Income Taxes - Income (Loss) Before Income Taxes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>192</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R193.htm</HtmlFileName>
      <LongName>22240802 - Disclosure - Income Taxes - Effective Tax Rate Reconciliation (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureIncomeTaxesEffectiveTaxRateReconciliationDetails</Role>
      <ShortName>Income Taxes - Effective Tax Rate Reconciliation (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>193</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R194.htm</HtmlFileName>
      <LongName>22240803 - Disclosure - Income Taxes - Deferred Tax Assets and Liabilities (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureIncomeTaxesDeferredTaxAssetsAndLiabilitiesDetails</Role>
      <ShortName>Income Taxes - Deferred Tax Assets and Liabilities (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>194</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R195.htm</HtmlFileName>
      <LongName>22240804 - Disclosure - Income Taxes (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureIncomeTaxesDetails</Role>
      <ShortName>Income Taxes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureIncomeTaxesTables</ParentRole>
      <Position>195</Position>
    </Report>
    <Report instance="tmb-20260331xs1a.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R196.htm</HtmlFileName>
      <LongName>22240901 - Disclosure - Subsequent Events (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.avat.com/role/DisclosureSubsequentEventsDetailssss</Role>
      <ShortName>Subsequent Events (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.avat.com/role/DisclosureSubsequentEvents</ParentRole>
      <Position>196</Position>
    </Report>
    <Report>
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <LongName>All Reports</LongName>
      <ReportType>Book</ReportType>
      <ShortName>All Reports</ShortName>
    </Report>
  </MyReports>
  <InputFiles>
    <File>tmb-20260331.xsd</File>
    <File>tmb-20260331_cal.xml</File>
    <File>tmb-20260331_def.xml</File>
    <File>tmb-20260331_lab.xml</File>
    <File>tmb-20260331_pre.xml</File>
    <File doctype="S-1/A" isDefinitelyFs="true" isUsgaap="true" original="tmb-20260331xs1a.htm">tmb-20260331xs1a.htm</File>
  </InputFiles>
  <SupplementalFiles/>
  <BaseTaxonomies>
    <BaseTaxonomy items="1257">http://fasb.org/us-gaap/2026</BaseTaxonomy>
    <BaseTaxonomy items="10">http://xbrl.sec.gov/dei/2026</BaseTaxonomy>
  </BaseTaxonomies>
  <HasPresentationLinkbase>true</HasPresentationLinkbase>
  <HasCalculationLinkbase>true</HasCalculationLinkbase>
</FilingSummary>
