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Forward Purchase Agreements (Details) - USD ($)
$ / shares in Units, $ in Thousands
 3 Months Ended 9 Months Ended 12 Months Ended
Jul. 17, 2024
Dec. 18, 2023
Sep. 28, 2025
Sep. 29, 2024
Sep. 28, 2025
Sep. 29, 2024
Dec. 31, 2024
 [4]
Dec. 29, 2024
Dec. 31, 2023
Jun. 14, 2024
Forward Purchase Agreements [Line Items]                    
Other expense     $ 1,100           $ 30,700  
Issuance of shares (in Shares) 2,450,000                  
Ordinary shares, par value (in Dollars per share)     $ 0.0001   $ 0.0001     $ 0.0001 $ 0.0001  
Price per share (in Dollars per share)               10.56    
Reset floor price (in Dollars per share)               5    
Terminated price (in Dollars per share)               $ 2    
Fair value of assets               $ 3,841 $ 3,823  
Anti-dilution provisions     $ 14   $ 14     14 7  
Other income (expense)     $ (4,256) [1] $ (65,684) [1] (1,724) [1] $ (66,234) [1]   $ 7,932 [2] (29,862) [2]  
Fair value of forward purchase liabilities         $ (807) [3] $ 4,906 [3] $ 337   $ (3,906) [4]  
Forward Purchase Agreements [Member]                    
Forward Purchase Agreements [Line Items]                    
Issuance of shares (in Shares)               6,300,000 5,670,000  
Aggregate share purchase (in Shares)               6,720,000    
Fair value of assets               $ 100    
Anti-dilution provisions   $ 10,000                
Other income (expense)                 $ 35,500  
Fair value of forward purchase liabilities               $ 300 3,900  
VWAP [Member]                    
Forward Purchase Agreements [Line Items]                    
Price per share (in Dollars per share)               $ 1   $ 1
FPA [Member]                    
Forward Purchase Agreements [Line Items]                    
Due to related parties               $ 3,500 3,800  
Fair value of FPA liability income                 400  
Change in Fair Value of FPA liability with Related Parties Expense                 9,100  
FPA [Member] | Related Party [Member]                    
Forward Purchase Agreements [Line Items]                    
Due to related parties               1,300 $ 3,200  
Fair value of FPA liability income               100    
Change in Fair Value of FPA liability with Related Parties Expense               $ 8,700    
Maximum [Member]                    
Forward Purchase Agreements [Line Items]                    
Reset floor price (in Dollars per share)   $ 5           $ 3    
Minimum [Member]                    
Forward Purchase Agreements [Line Items]                    
Reset floor price (in Dollars per share)   $ 3           $ 1    
Common Stock [Member]                    
Forward Purchase Agreements [Line Items]                    
Issuance of shares (in Shares)     4,333,334 2,718,837 4,333,334 2,718,837   2,918,837    
Common Stock [Member] | Forward Purchase Agreements [Member]                    
Forward Purchase Agreements [Line Items]                    
Issuance of shares (in Shares)                 6,720,000  
[1] Includes the following related party transactions (in millions):
[2] Includes related party interest expense and amortization of debt issuance costs of $1.8 million and $1.5 million in the thirteen week periods ended September 28, 2025, and September 29, 2024, respectively. Includes related party interest expense and amortization of debt issuance costs of $5.4 million and $5.6 million in the thirty-nine weeks periods ended September 28, 2025, and September 29, 2024, respectively.
[3] Includes related party income of $0.1 million and $1.8 million in the thirty-nine week periods ended September 28, 2025, and September 29, 2024, respectively.
[4] Change in fair value of forward purchase agreement liabilities from related parties was income of $0.1 million and ($9.1) million during the fiscal years ended December 29, 2024 and December 31, 2023, respectively.