Loss per Share - Schedule of Antidilutive Securities Excluded From Computation of Diluted Loss Per Share (Successor) (Details) - shares shares in Thousands	3 Months Ended
	Mar. 31, 2026	Mar. 31, 2025
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]
Antidilutive securities excluded from computation of earnings (loss) per share (in shares)	166,664	168,123
Public Warrants
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]
Antidilutive securities excluded from computation of earnings (loss) per share (in shares)	8,621	8,621
Private Placement Warrants
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]
Antidilutive securities excluded from computation of earnings (loss) 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 (loss) 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 (loss) per share (in shares)	0	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 (loss) 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 (loss) per share (in shares)	136,958	141,243
Unvested RSUs
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]
Antidilutive securities excluded from computation of earnings (loss) per share (in shares)	1,846	875
Unvested PSUs
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]
Antidilutive securities excluded from computation of earnings (loss) per share (in shares)	262	128
Make-Whole Awards
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]
Antidilutive securities excluded from computation of earnings (loss) 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 (loss) per share (in shares)	6,491	2,460