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Loss per Share- Schedule of Antidilutive Securities Excluded From Computation of Diluted Loss Per Share (Successor) (Details) - shares shares in Thousands | 6 Months Ended
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Jun. 30, 2025 | Jun. 30, 2024
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items] |  |
Antidilutive securities excluded from computation of earnings per share (in shares) | 174,607 | 169,415
Public Warrants |  |
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items] |  |
Antidilutive securities excluded from computation of earnings per share (in shares) | 8,621 | 8,622
Private Placement Warrants |  |
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items] |  |
Antidilutive securities excluded from computation of earnings per share (in shares) | 10,900 | 10,900
Earnout Shares |  |
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items] |  |
Antidilutive securities excluded from computation of earnings per share (in shares) | 329 | 329
BHES Bonus Shares |  |
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items] |  |
Antidilutive securities excluded from computation of earnings per share (in shares) | 2,068 | 2,068
Common Stock | Unvested Class A OpCo Units |  |
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items] |  |
Antidilutive securities excluded from computation of earnings per share (in shares) | 0 | 242
Common Stock | Vested Class A OpCo Units |  |
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items] |  |
Antidilutive securities excluded from computation of earnings per share (in shares) | 142,331 | 142,476
Unvested RSUs |  |
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items] |  |
Antidilutive securities excluded from computation of earnings per share (in shares) | 2,273 | 933
Unvested PSUs |  |
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items] |  |
Antidilutive securities excluded from computation of earnings per share (in shares) | 322 | 128
Make-Whole Awards |  |
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items] |  |
Antidilutive securities excluded from computation of earnings per share (in shares) | 1,257 | 1,257
Stock Options |  |
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items] |  |
Antidilutive securities excluded from computation of earnings per share (in shares) | 6,506 | 2,460

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- Definition Securities (including those issuable pursuant to contingent stock agreements) that could potentially dilute basic earnings per share (EPS) or earnings per unit (EPU) in the future that were not included in the computation of diluted EPS or EPU because to do so would increase EPS or EPU amounts or decrease loss per share or unit amounts for the period presented. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 260 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (c) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482662/260-10-50-1 + Details
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