Common Stock, Preferred Stock and Stockholders' (Deficit) Equity - Additional Information (Detail)				3 Months Ended	6 Months Ended		9 Months Ended	12 Months Ended
	Jul. 01, 2025 USD ($) $ / shares	May 30, 2025 shares	Nov. 20, 2024 USD ($) $ / shares	Jun. 30, 2025 USD ($) Series $ / shares shares	Jun. 30, 2025 USD ($) Series $ / shares shares	Jun. 30, 2024 USD ($) $ / shares shares	Jun. 30, 2024 USD ($) $ / shares shares	Dec. 31, 2024 USD ($) $ / shares shares	Mar. 31, 2025 shares	Mar. 31, 2024 shares	Sep. 22, 2023 USD ($)	Jun. 30, 2023 shares
Schedule Of Stockholders Equity [Line Items]
Shares, issued				2,272,250,000	2,272,250,000
Distribution paid | $					$ 10,117,000	$ 7,748,000
Share repurchase, amount | $						$ 158,000
Authorized repurchase amount | $											$ 10,000,000
Share repurchase, shares						69,976
Share repurchase, average cost per share | $ / shares						$ 2.26	$ 2.26
Number of warrants outstanding				43,848,750	43,848,750
Class of warrant or right exercise price | $ / shares				$ 11.5	$ 11.5
Number of consecutive trading days for determining share price					20 days
Number of trading days for determining the share price					10 days
Class of warrants or rights expiration period					5 years
Common stock for net proceeds | $					$ 11,977,000	$ 0
BT Hold Co [Member]
Schedule Of Stockholders Equity [Line Items]
Distribution paid | $								$ 29,000,000
Conversion of stock, description					During the three months ended March 31, 2025, the holders of the Series A Preferred Stock exercised their option to convert the Series A Preferred Stock for Class A Common Stock on a 1:1 basis.
New ATM Equity Offering Program [Member] | Subsequent Event [Member]
Schedule Of Stockholders Equity [Line Items]
Sale of shares amount | $	$ 50,000,000
Original ATM Equity Offering [Member]
Schedule Of Stockholders Equity [Line Items]
Common stock, par or stated value per share | $ / shares			$ 0.0001
Original ATM Equity Offering [Member] | Subsequent Event [Member]
Schedule Of Stockholders Equity [Line Items]
Common stock, par or stated value per share | $ / shares	$ 0.0001
Sale of shares amount | $	$ 25,000,000
BT Assets [Member]
Schedule Of Stockholders Equity [Line Items]
Equity Method Investment, Ownership Percentage						4.30%	4.30%
Public Warrants [Member]
Schedule Of Stockholders Equity [Line Items]
Number of warrants outstanding				31,625,000	31,625,000
Private Warrants [Member]
Schedule Of Stockholders Equity [Line Items]
Number of warrants outstanding				12,223,750	12,223,750
Maximum [Member] | Subsequent Event [Member]
Schedule Of Stockholders Equity [Line Items]
Sale of shares amount | $	$ 100,000,000
Class A Common Stock [Member]
Schedule Of Stockholders Equity [Line Items]
Common stock, vote per share					one vote
Common stock, shares authorized				800,000,000	800,000,000			800,000,000
Share repurchase, amount | $							$ 400,000
Share repurchase, shares							190,620
Class of warrant or right, number of securities called by each warrant or right				1	1
Earn out provision share price | $ / shares				$ 12	$ 12
Common stock, shares, issued				25,440,775	25,440,775			19,263,164
Common stock, par or stated value per share | $ / shares				$ 0.0001	$ 0.0001			$ 0.0001
Class A Common Stock [Member] | At-the Market Equity Offering [Member]
Schedule Of Stockholders Equity [Line Items]
Common stock aggregate offering amount maximum | $			$ 13,100,000
Market capitalization | $			75,000,000
Market capitalization exceeds | $			75,000,000
Aggregate offering amount increases | $			$ 25,000,000
Stock issued during the period shares new issues				2,321,402	2,920,330
Common stock for net proceeds | $				$ 11,000,000	$ 12,000,000
Equity offering program remained available for issuance | $					$ 38,000,000
Class A Common Stock [Member] | Share Price Equal Or Exceeds Eighteen Rupees Per Dollar [Member]
Schedule Of Stockholders Equity [Line Items]
Class of warrant or right per share price during the period | $ / shares				$ 0.01	$ 0.01
Share price | $ / shares				18	$ 18
Number of consecutive trading days for determining share price					20 days
Number of trading days for determining the share price					30 days
Right to redeem outstanding warrants once exercisable and prior to expiration | $ / shares				$ 0.01	$ 0.01
Class B Common Stock [Member]
Schedule Of Stockholders Equity [Line Items]
Common stock, vote per share					one vote
Common stock, shares authorized				20,000,000	20,000,000
Common stock, par or stated value per share | $ / shares				$ 0.0001	$ 0.0001
Class M Common Stock [Member]
Schedule Of Stockholders Equity [Line Items]
Common stock, vote per share					ten votes
Common stock, shares authorized				300,000,000	300,000,000
Common stock, par or stated value per share | $ / shares				$ 0.0001	$ 0.0001
Class M Common Stock [Member] | Up-C Restructuring [Member]
Schedule Of Stockholders Equity [Line Items]
Conversion of common stock shares		41,193,024
Class O Common Stock [Member]
Schedule Of Stockholders Equity [Line Items]
Common stock, vote per share					one vote
Common stock, shares authorized				800,000,000	800,000,000
Common stock, par or stated value per share | $ / shares				$ 0.0001	$ 0.0001
Class V Common Stock [Member]
Schedule Of Stockholders Equity [Line Items]
Common stock, shares authorized				300,000,000	300,000,000
Common stock percentage of voting rights				20.00%	20.00%
Common stock, par or stated value per share | $ / shares				$ 0.0001	$ 0.0001
Class V Common Stock [Member] | BT Assets [Member]
Schedule Of Stockholders Equity [Line Items]
Forfeiture of shares								2,906,976
Class V Common Stock [Member] | Up-C Restructuring [Member]
Schedule Of Stockholders Equity [Line Items]
Common stock, shares, issued		41,193,024
Class E Common Stock [Member]
Schedule Of Stockholders Equity [Line Items]
Common stock, shares authorized				2,250,000	2,250,000			2,250,000
Number of common stock series | Series				3	3
Earnout shares issuable				15,000,000	15,000,000
Common stock, shares, issued				0	0			1,075,761
Common stock, par or stated value per share | $ / shares				$ 0.0001	$ 0.0001			$ 0.0001
Class E Common Stock [Member] | Sponsor [Member]
Schedule Of Stockholders Equity [Line Items]
Earnout shares issuable				1,075,061	1,075,061				1,075,061
Class E Common Stock [Member] | Up-C Restructuring [Member]
Schedule Of Stockholders Equity [Line Items]
Earnout shares issuable		15,000,000
Contingent equity rights		15,000,000
Class E-1 Common Stock [Member]
Schedule Of Stockholders Equity [Line Items]
Common stock, shares authorized				750,000	750,000
Class E-2 Common Stock [Member]
Schedule Of Stockholders Equity [Line Items]
Common stock, shares authorized				750,000	750,000
Class E-3 Common Stock [Member]
Schedule Of Stockholders Equity [Line Items]
Common stock, shares authorized				750,000	750,000
Series A Preferred Stock [Member]
Schedule Of Stockholders Equity [Line Items]
Preferred stock, shares issued				0	0			1,733,884				4,300,000
Preferred stock, shares outstanding				0	0			1,733,884
Convertion of preferred shares									1,733,884	50,000