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Income Taxes - Additional Information (Detail)
$ in Thousands, BitCoinUnits in Millions
3 Months Ended 6 Months Ended
May 30, 2025
USD ($)
Apr. 24, 2024
USD ($)
BitCoinUnits
Sep. 30, 2025
Jun. 30, 2025
USD ($)
Jun. 30, 2024
USD ($)
Jun. 30, 2025
USD ($)
Jun. 30, 2024
USD ($)
Dec. 31, 2023
USD ($)
Sep. 30, 2023
USD ($)
Income tax (expense)       $ (1,162) $ (270) $ (2,614) $ (132)    
Uncertain tax position       1,000   1,000      
Forecast [Member]                  
Change in annual effective tax rate     3.94%            
BT Hold Co LLC [Member]                  
Income tax (expense)           $ (2,600) $ (100)    
Effective income tax rate reconciliation, percent           (9.65%) 51.97%    
Net income (loss) before tax attributable to non controlling interest           $ (200) $ 300    
Tax Receivable Agreement [Member]                  
Tax receivable agreement liability               $ 900 $ 700
Tax receivable agreement liability additional adjustment   $ 1,300           $ 200  
Percentage of aggregate tax benefits   85.00%              
Tax Receivable Agreement [Member] | BT Hold Co LLC [Member]                  
Tax savings percentage distributable           85.00%      
Payable as per tax receivable agreement       $ 2,200   $ 2,200      
Aggregate number of units in connection with exchange | BitCoinUnits   2.9              
Tax Receivable Agreement [Member] | BT Assets [Member]                  
Cash payments for termination of agreement $ 8,400