Net Loss per Share - Schedule of securities were not included in the computation of diluted shares outstanding (Detail) - shares |
12 Months Ended | |
|---|---|---|
Dec. 31, 2025 |
Dec. 31, 2024 |
|
| PubCo Warrants — Public and Private | ||
| Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items] | ||
| Number of securities | 6,264,107 | 6,264,107 |
| PubCo Class E Common Stock — Earnouts Units | ||
| Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items] | ||
| Number of securities | 0 | 153,680 |
| BT OpCo Exchangeable Non-Controlling Interest | ||
| Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items] | ||
| Number of securities | 0 | 6,299,003 |
| BT OpCo Earnouts Units | ||
| Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items] | ||
| Number of securities | 2,142,857 | 2,142,857 |
| 2023 Incentive Plan RSU awards | ||
| Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items] | ||
| Number of securities | 413,881 | 232,098 |