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Postretirement and Postemployment Benefits - Amounts Recognized in the Consolidated Balance Sheets (Details) - USD ($)
$ in Thousands
Sep. 28, 2025
Sep. 29, 2024
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]    
Accumulated other comprehensive income (before income tax benefit) $ (14,683) $ (8,804)
Other Postretirement Benefits Plan    
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]    
Non-current assets 22,407 23,300
Postretirement benefit obligations (3,755) (5,947)
Accumulated other comprehensive income (before income tax benefit) $ 15,594 $ 17,556