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Common Stock, Preferred Stock and Stockholders' Equity - Additional Information (Detail) - USD ($) $ / shares in Units, $ in Thousands |  |  |  | 12 Months Ended |  |  |
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Jul. 01, 2025 | May 30, 2025 | Nov. 20, 2024 | Dec. 31, 2025 | Dec. 31, 2024 | Mar. 31, 2025 | Dec. 31, 2023 | Jun. 30, 2023
Schedule Of Stockholders Equity [Line Items] |  |  |  |  |  |  |  |
Shares, issued |  |  |  | 2,272,250,000 |  |  |  |
Distribution paid |  |  |  | $ 10,102 | $ 37,160 |  |  |
Share repurchase, amount |  |  |  |  | $ 158 |  |  |
Authorized repurchase amount |  |  |  |  |  |  | $ 10,000 |
Share repurchase, shares |  |  |  |  | 9,997 |  |  |
Share repurchase, average cost per share |  |  |  |  | $ 15.82 |  |  |
Number of warrants outstanding |  |  |  | 6,264,107 |  |  |  |
Class of warrant or right exercise price |  |  |  | $ 80.5 |  |  |  |
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 |  |  |  | $ 35,108 | $ 0 |  |  |
BT Hold Co [Member] |  |  |  |  |  |  |  |
Schedule Of Stockholders Equity [Line Items] |  |  |  |  |  |  |  |
Distribution paid |  |  |  |  | $ 29,000 |  |  |
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. |  |  |  |
Original At The Market Equity Offering [Member] |  |  |  |  |  |  |  |
Schedule Of Stockholders Equity [Line Items] |  |  |  |  |  |  |  |
Common stock, par or stated value per share | $ 0.0001 |  | $ 0.0001 |  |  |  |  |
Sale of shares amount | $ 25,000 |  |  |  |  |  |  |
New At The Market Equity Offering Program [Member] |  |  |  |  |  |  |  |
Schedule Of Stockholders Equity [Line Items] |  |  |  |  |  |  |  |
Sale of shares amount | 50,000 |  |  |  |  |  |  |
Public Warrants [Member] |  |  |  |  |  |  |  |
Schedule Of Stockholders Equity [Line Items] |  |  |  |  |  |  |  |
Number of warrants outstanding |  |  |  | 4,517,857 |  |  |  |
Private Warrants [Member] |  |  |  |  |  |  |  |
Schedule Of Stockholders Equity [Line Items] |  |  |  |  |  |  |  |
Number of warrants outstanding |  |  |  | 1,746,250 |  |  |  |
Maximum [Member] |  |  |  |  |  |  |  |
Schedule Of Stockholders Equity [Line Items] |  |  |  |  |  |  |  |
Sale of shares amount | $ 100,000 |  |  |  |  |  |  |
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 |  |  |
Share repurchase, amount |  |  |  |  | $ 400 |  |  |
Share repurchase, shares |  |  |  |  | 27,231 |  |  |
Class of warrant or right, number of securities called by each warrant or right |  |  |  | 1 |  |  |  |
Common stock, shares, issued |  |  |  | 5,051,525 | 2,751,881 |  |  |
Common stock, par or stated value per share |  |  |  | $ 0.0001 | $ 0.0001 |  |  |
Conversion of common stock shares |  |  |  | 247,698 | 198,731 |  |  |
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 |  |  |  |  |
Market capitalization |  |  | 75,000 |  |  |  |  |
Market capitalization exceeds |  |  | 75,000 |  |  |  |  |
Aggregate offering amount increases |  |  | $ 25,000 |  |  |  |  |
Stock issued during the period shares new issues |  |  |  | 1,295,776 |  |  |  |
Common stock for net proceeds |  |  |  | $ 35,100 |  |  |  |
Equity offering program remained available for issuance |  |  |  | $ 14,900 |  |  |  |
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 |  |  |  | $ 0.07 |  |  |  |
Share price |  |  |  | $ 126 |  |  |  |
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 |  |  |  | $ 0.07 |  |  |  |
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, shares, issued |  |  |  | 0 | 0 |  |  |
Common stock, par or stated value per share |  |  |  | $ 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 |  |  |  |
Common stock, par or stated value per share |  |  |  | $ 0.0001 |  |  |  |
Class M Common Stock [Member] | Up-C Restructuring [Member] |  |  |  |  |  |  |  |
Schedule Of Stockholders Equity [Line Items] |  |  |  |  |  |  |  |
Conversion of common stock shares |  | 5,884,718 |  |  |  |  |  |
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 |  |  |  |
Common stock, par or stated value per share |  |  |  | $ 0.0001 |  |  |  |
Class V Common Stock [Member] |  |  |  |  |  |  |  |
Schedule Of Stockholders Equity [Line Items] |  |  |  |  |  |  |  |
Common stock, shares authorized |  |  |  | 300,000,000 |  |  |  |
Common stock percentage of voting rights |  |  |  | 20.00% |  |  |  |
Common stock, par or stated value per share |  |  |  | $ 0.0001 |  |  |  |
Common stock, conversion basis |  |  |  | one-for-one |  |  |  |
Class V Common Stock [Member] | Up-C Restructuring [Member] |  |  |  |  |  |  |  |
Schedule Of Stockholders Equity [Line Items] |  |  |  |  |  |  |  |
Common stock, shares, issued |  | 5,884,718 |  |  |  |  |  |
Class E Common Stock [Member] |  |  |  |  |  |  |  |
Schedule Of Stockholders Equity [Line Items] |  |  |  |  |  |  |  |
Common stock, shares authorized |  |  |  | 2,250,000 | 2,250,000 |  |  |
Earnout shares issuable |  |  |  | 2,142,857 |  |  |  |
Earn out provision share price |  |  |  | $ 84 |  |  |  |
Common stock, shares, issued |  |  |  | 0 | 153,680 |  |  |
Common stock, par or stated value per share |  |  |  | $ 0.0001 | $ 0.0001 |  |  |
Common stock, conversion basis |  |  |  | three |  |  |  |
Class E Common Stock [Member] | Sponsor [Member] |  |  |  |  |  |  |  |
Schedule Of Stockholders Equity [Line Items] |  |  |  |  |  |  |  |
Earnout shares issuable |  |  |  | 153,580 |  | 153,580 |  |
Class E Common Stock [Member] | Up-C Restructuring [Member] |  |  |  |  |  |  |  |
Schedule Of Stockholders Equity [Line Items] |  |  |  |  |  |  |  |
Earnout shares issuable |  | 2,142,857 |  |  |  |  |  |
Contingent equity rights |  | 2,142,857 |  |  |  |  |  |
Class E-1 Common Stock [Member] |  |  |  |  |  |  |  |
Schedule Of Stockholders Equity [Line Items] |  |  |  |  |  |  |  |
Common stock, shares authorized |  |  |  | 750,000 |  |  |  |
Class E-2 Common Stock [Member] |  |  |  |  |  |  |  |
Schedule Of Stockholders Equity [Line Items] |  |  |  |  |  |  |  |
Common stock, shares authorized |  |  |  | 750,000 |  |  |  |
Class E-3 Common Stock [Member] |  |  |  |  |  |  |  |
Schedule Of Stockholders Equity [Line Items] |  |  |  |  |  |  |  |
Common stock, shares authorized |  |  |  | 750,000 |  |  |  |
Series A Preferred Stock [Member] |  |  |  |  |  |  |  |
Schedule Of Stockholders Equity [Line Items] |  |  |  |  |  |  |  |
Preferred stock, shares issued |  |  |  | 0 | 1,733,884 |  |  | 614,286
Convertion of preferred shares |  |  |  | 1,733,884 | 1,391,116 |  |  |

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