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Other Non-Current Assets - Schedule of Unaudited, Condensed Income Statement Information for Unconsolidated Affiliates (Details) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Jun. 30, 2024
 [1]
Mar. 31, 2024
 [1]
Dec. 31, 2023
 [1]
Oct. 01, 2023
 [1]
Jul. 02, 2023
 [2]
Apr. 02, 2023
 [2]
Jan. 01, 2023
 [2]
Oct. 02, 2022
 [2]
Jun. 30, 2024
Jul. 02, 2023
Jul. 03, 2022
Schedule Of Equity Method Investments [Line Items]                      
Net sales                 $ 582,209 $ 623,527 $ 815,758
Gross profit $ 10,791 $ 4,764 $ 1,636 $ (575) $ 6,025 $ 9,653 $ (8,000) $ 6,563 16,616 14,241 80,485
Net (loss) income                 (47,395) (46,344) 15,171
Distributions received                 1,000   750
Equity Method Investment, Nonconsolidated Investee or Group of Investees [Member]                      
Schedule Of Equity Method Investments [Line Items]                      
Net sales                 15,680 29,123 31,745
Gross profit                 629 2,337 1,928
(Loss) income from operations                 (1,266) 604 148
Net (loss) income                 (1,313) 544 127
Depreciation and amortization                 $ 35 $ 111 $ 121
[1] Gross (loss) profit for our domestic operations for all fiscal quarters of fiscal 2024 was impacted by higher manufacturing costs and lower conversion margins.
[2] Gross profit (loss) for our domestic operations for all fiscal quarters of fiscal 2023 was impacted by lower production volumes driving weaker fixed cost absorption in connection with lower sales volumes.