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Summary of Significant Accounting Policies (Details) - USD ($)
$ in Thousands
 3 Months Ended
Mar. 31, 2026
Mar. 31, 2025
Dec. 31, 2025
Summary of Significant Accounting Policies [Line Items]      
Common units percentage 99.85%    
Cash and cash equivalents $ 24,955   $ 24,345
Accumulated deficit (655,821)   $ (625,280)
Net loss (30,541) $ (19,137)  
Net cash used in operating activities 3,000    
Net cash used in investing activities $ 2,000    
Economic interest 99.85%    
Asset liabilities percentage 100.00%    
Purple LLC [Member]      
Summary of Significant Accounting Policies [Line Items]      
Common units percentage 0.15%    
Economic interest 0.15%