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Fair Value Measurements - Beginning and ending amounts of the fair value (Details) - USD ($)
$ in Thousands
12 Months Ended
Jan. 02, 2024
Jan. 03, 2023
Fair Value Measurements    
Payment $ 9,900 $ 7,200
Level 3    
Fair Value Measurements    
Beginning balance 28,565 23,894
Payment (12,994) (7,187)
Change in fair value 9,924 11,858
Ending balance $ 25,495 $ 28,565