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Quarterly Results (Unaudited) - Schedule of Quarterly Financial Data (Details) - USD ($)
$ / shares in Units, $ in Thousands
 3 Months Ended 12 Months Ended
Jun. 30, 2024
Mar. 31, 2024
Dec. 31, 2023
Oct. 01, 2023
Jul. 02, 2023
Apr. 02, 2023
Jan. 01, 2023
Oct. 02, 2022
Jun. 30, 2024
Jul. 02, 2023
Jul. 03, 2022
Quarterly Financial Data [Abstract]                      
Net sales $ 157,452 [1] $ 148,996 [1] $ 136,917 [1] $ 138,844 [1] $ 151,058 [2] $ 156,738 [2] $ 136,212 [2] $ 179,519 [2] $ 582,209 $ 623,527 $ 815,758
Gross (loss) profit 10,791 [3] 4,764 [3] 1,636 [3] (575) [3] 6,025 [4] 9,653 [4] (8,000) [4] 6,563 [4] 16,616 14,241 80,485
Net Income (Loss) $ (3,984) [5] $ (10,295) [5] $ (19,846) [5] $ (13,270) [5] $ (15,289) [6] $ (5,184) [6] $ (18,037) [6] $ (7,834) [6] $ (47,395) $ (46,344) $ 15,171
Net loss per common share, Basic $ (0.22) [7] $ (0.57) [7] $ (1.1) [7] $ (0.73) [7] $ (0.85) [7] $ (0.29) [7] $ (1) [7] $ (0.44) [7] $ (2.61) $ (2.57) $ 0.82
Net loss per common share, Diluted $ (0.22) [7] $ (0.57) [7] $ (1.1) [7] $ (0.73) [7] $ (0.85) [7] $ (0.29) [7] $ (1) [7] $ (0.44) [7] $ (2.61) $ (2.57) $ 0.8
[1] Net sales for fiscal 2024 includes lower volumes in the Americas and Asia Segments as a result of lower global demand in connection with inventory destocking efforts of major brands and retailers.
[2] Net sales for all fiscal quarters of fiscal 2023 includes adverse demand pressures in the Americas and Asia Segments.
[3] Gross (loss) profit for our domestic operations for all fiscal quarters of fiscal 2024 was impacted by higher manufacturing costs and lower conversion margins.
[4] 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.
[5] Net loss for our domestic operations for all fiscal quarters of fiscal 2024 includes the adverse pressures on gross (loss) profit. Net loss for fiscal 2024 includes both a loss on dissolution of a joint venture and severance costs.
[6] Net loss for our domestic operations for all fiscal quarters of fiscal 2023 includes the adverse pressures on gross profit (loss). Net loss for the fourth quarter of fiscal 2023 includes an impairment further described in Note 9, "Property, Plant and Equipment, Net."
[7] Loss per share is computed independently for each of the periods presented. The sum of the loss per share amounts for the fiscal quarters may not equal the total for the fiscal year.