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Summary of Significant Accounting Policies - Warrant Instruments (Details) | Dec. 31, 2025 shares
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Summary of Significant Accounting Policies |
Warrants outstanding | 11,666,666
Public Warrant |
Summary of Significant Accounting Policies |
Warrants outstanding | 7,666,666
Private placement warrants |
Summary of Significant Accounting Policies |
Warrants outstanding | 4,000,000

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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + Details
Name: | us-gaap_ClassOfWarrantOrRightLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Number of warrants or rights outstanding. + References No definition available. + Details
Name: | us-gaap_ClassOfWarrantOrRightOutstanding
Namespace Prefix: | us-gaap_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

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- Details
Name: | us-gaap_ClassOfWarrantOrRightAxis=adac_PublicWarrantsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_ClassOfWarrantOrRightAxis=adac_PrivatePlacementWarrantsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |