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Leases - Summary of ROU Assets and Lease Liabilities (Details) - USD ($) $ in Thousands | Jun. 30, 2026 | Dec. 31, 2025
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ROU assets |  |
Total ROU assets | $ 161,292 | $ 166,684
Lease liabilities |  |
Total lease liabilities | 205,140 | 188,395
Operating Leases [Member] |  |
ROU assets |  |
Total ROU assets | 161,292 | 166,684
Lease liabilities |  |
Total lease liabilities | $ 205,140 | $ 188,395

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- Definition Lease liabilities. + References No definition available. + Details
Name: | abtc_LeaseLiabilitiesAbstract
Namespace Prefix: | abtc_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition ROU assets. + References No definition available. + Details
Name: | abtc_ROUAssetsAbstarct
Namespace Prefix: | abtc_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Present value of lessee's discounted obligation for lease payments from operating lease. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 842 -SubTopic 20 -Name Accounting Standards Codification -Section 45 -Paragraph 1 -Subparagraph (b) -Publisher FASB -URI https://asc.fasb.org/1943274/2147479041/842-20-45-1 + Details
Name: | us-gaap_OperatingLeaseLiability
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Amount of lessee's right to use underlying asset under operating lease. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 842 -SubTopic 20 -Name Accounting Standards Codification -Section 45 -Paragraph 1 -Subparagraph (a) -Publisher FASB -URI https://asc.fasb.org/1943274/2147479041/842-20-45-1 + Details
Name: | us-gaap_OperatingLeaseRightOfUseAsset
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Details
Name: | us-gaap_TypeOfArrangementAxis=abtc_OperatingLeasesMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |