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Business Segment Information - Reconciliations of Segment Gross Profit to Consolidated (loss) income Before Income Taxes (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
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items]                      
Gross profit $ 10,791 $ 4,764 $ 1,636 $ (575) $ 6,025 $ 9,653 $ (8,000) $ 6,563 $ 16,616 $ 14,241 $ 80,485
Selling, general and administrative expenses                 46,632 47,345 52,489
Provision (benefit) for bad debts                 1,571 (89) (445)
Restructuring costs                 5,101    
Other operating expense (income), net                 733 7,856 (158)
Operating (loss) income                 (37,421) (40,871) 28,599
Interest income                 (2,136) (2,109) (1,524)
Interest expense                 9,862 7,577 3,085
Equity in loss (earnings) of unconsolidated affiliates                 390 (896) (605)
Recovery of non-income taxes, net                     815
(Loss) income before income taxes                 (45,537) (45,443) 26,828
Americas [Member]                      
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items]                      
Gross profit                 (17,630) (14,659) 24,468
Brazil [Member]                      
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items]                      
Gross profit                 14,755 12,162 27,141
Asia [Member]                      
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items]                      
Gross profit                 $ 19,491 $ 16,738 $ 28,876
[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.