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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 |  |

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