Income Taxes (Details) - Schedule of Income Tax (Benefit) Expense Amount Computed At the Federal Statutory Corporate - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2023	Dec. 31, 2022	Dec. 31, 2021
Schedule of Income Tax (Benefit) Expense Amount Computed At the Federal Statutory Corporate [Abstract]
Tax (provision) benefit at Federal statutory rate	$ (25,454)	$ 25,293	$ 299
State income tax provision (benefit), net of federal benefit	(6,235)	292	(821)
Noncontrolling interest	96	59	(418)
Tax receivable agreement liability		(34,014)	(843)
Change in fair value – warrant liabilities		(912)	(5,051)
Change in valuation allowance	35,592	189,870
Remeasurement due to rate change	(31)	2,530	3,287
Research and development tax credits	(1,113)	(1,763)
Remeasurement of investment in Purple LLC	(4,028)	29,822	1,834
Nondeductible compensation	281		531
Stock-based compensation	605	2,303	(330)
Other	295	(311)	(10)
Income tax (benefit) expense	$ 8	$ 213,169	$ (1,522)