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Stockholders’ Equity (Details) - USD ($)
$ / shares in Units, $ in Millions
 9 Months Ended
Jun. 27, 2024
Sep. 30, 2024
Jan. 23, 2024
Dec. 31, 2023
Stockholders’ Equity [Line Items]        
Preferred stock were designated (in Dollars) $ 0.3      
Current NOL (in Dollars) $ 238.0      
Aggregate common stock percentage 5.00%      
Percentage of outstanding common stock 4.90% 50.00%    
Number of exchanging shares (in Shares)   1    
Exercise warrants percentage   49.90%    
Purple LLC [Member]        
Stockholders’ Equity [Line Items]        
Noncontrolling interest percentage   0.20%   0.20%
Warrant [Member]        
Stockholders’ Equity [Line Items]        
Warrants issued (in Shares)   20,000,000 20,000,000  
Warrants exercisable price per share (in Dollars per share)   $ 0.01    
Sponsor Warrants [Member]        
Stockholders’ Equity [Line Items]        
Warrants exercisable price per share (in Dollars per share)   $ 1,900,000    
Minimum [Member]        
Stockholders’ Equity [Line Items]        
Trading days   20    
Maximum [Member]        
Stockholders’ Equity [Line Items]        
Trading days   30    
NOL Protective Charter Amendment [Member]        
Stockholders’ Equity [Line Items]        
Percentage of outstanding common stock 4.90%      
Preferred Stock [Member]        
Stockholders’ Equity [Line Items]        
Preferred stock authorized (in Shares)   5,000,000    
Common Stock [Member]        
Stockholders’ Equity [Line Items]        
Percentage of outstanding common stock 4.90%      
Price per share (in Dollars per share)   $ 0.0001    
NOL Rights Plan [Member]        
Stockholders’ Equity [Line Items]        
Aggregate ownership percentage 50.00%      
Class A Common Stock [Member]        
Stockholders’ Equity [Line Items]        
Common stock authorized (in Shares)   210,000,000   210,000,000
Vote for each share   one    
Common stock, shares outstanding (in Shares)   107,516,000   105,507,000
Price per share (in Dollars per share)   $ 0.0001   $ 0.0001
Warrants exercisable price per share (in Dollars per share)   1.5    
Class A Common Stock [Member] | Warrant [Member]        
Stockholders’ Equity [Line Items]        
Warrants exercisable price per share (in Dollars per share)   $ 24 $ 1.5  
Class B Common Stock [Member]        
Stockholders’ Equity [Line Items]        
Common stock authorized (in Shares)   90,000,000   90,000,000
Common stock, shares outstanding (in Shares)   192,000   192,000
Price per share (in Dollars per share)   $ 0.0001   $ 0.0001
Series C Preferred Shares [Member]        
Stockholders’ Equity [Line Items]        
Per share (in Dollars per share) $ 0.0001      
Purchase price per share (in Dollars per share)   2.75    
IPO [Member] | Sponsor Warrants [Member]        
Stockholders’ Equity [Line Items]        
Warrants exercisable price per share (in Dollars per share)   $ 12,800,000