Leases - Schedule of Lease Assets and Liabilities (Details) - USD ($) $ in Thousands	Mar. 29, 2025	Sep. 28, 2024
Assets and Liabilities, Leases [Abstract]
Finance lease right-of-use assets	$ 33,846	$ 35,853
Operating lease right-of-use assets	76,217	74,360
Total lease Assets	110,063	110,213
Current finance lease liabilities	$ 3,901	$ 4,717
Finance Lease, Liability, Current, Statement of Financial Position [Extensible Enumeration]	Current portion of long-term debt and finance lease obligations	Current portion of long-term debt and finance lease obligations
Current operating lease liabilities	$ 9,968	$ 14,697
Operating Lease, Liability, Current, Statement of Financial Position [Extensible List]	Other accrued liabilities	Other accrued liabilities
Long-term finance lease liabilities	$ 38,001	$ 38,756
Finance Lease, Liability, Noncurrent, Statement of Financial Position [Extensible Enumeration]	Long-term debt and finance lease obligations, net of current portion	Long-term debt and finance lease obligations, net of current portion
Long-term operating lease liabilities	$ 32,720	$ 32,275
Total lease liabilities	$ 84,590	$ 90,445