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Income Taxes - Schedule of Changes in Unrecognized Tax Benefits (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 28, 2024
Sep. 30, 2023
Oct. 01, 2022
Unrecognized Tax Benefits [Roll Forward]      
Beginning balance $ 17,619 $ 17,021 $ 21,252
(Decrease) - tax positions in prior periods   (566) (6,039)
Increase - tax positions in prior periods 147    
Increase - tax positions in current periods 1,144 1,164 1,808
Ending balance $ 18,910 $ 17,619 $ 17,021