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Summary of Significant Accounting Policies - Schedule of Intercompany Foreign Currency Balances (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 28, 2024
Sep. 30, 2023
Oct. 01, 2022
Product Information [Line Items]      
Foreign currency remeasurement and transaction gains (losses) $ 7,276 $ 7,335 $ (10,775)
Other income (expense)      
Product Information [Line Items]      
Foreign currency remeasurement and transaction gains (losses) $ 9,062 $ 13,674 $ (21,877)