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Computation of Earnings Per Share - Computation of Basic and Diluted Earnings (Loss) Per Share (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
Earnings Per Share [Abstract]                      
Net (loss) income $ (3,984) [1] $ (10,295) [1] $ (19,846) [1] $ (13,270) [1] $ (15,289) [2] $ (5,184) [2] $ (18,037) [2] $ (7,834) [2] $ (47,395) $ (46,344) $ 15,171
Weighted average common shares outstanding (in shares)                 18,154,000 18,037,000 18,429,000
Basic $ (0.22) [3] $ (0.57) [3] $ (1.1) [3] $ (0.73) [3] $ (0.85) [3] $ (0.29) [3] $ (1) [3] $ (0.44) [3] $ (2.61) $ (2.57) $ 0.82
Net potential common share equivalents                     439,000
Adjusted weighted average common shares outstanding (in shares)                 18,154,000 18,037,000 18,868,000
Diluted $ (0.22) [3] $ (0.57) [3] $ (1.1) [3] $ (0.73) [3] $ (0.85) [3] $ (0.29) [3] $ (1) [3] $ (0.44) [3] $ (2.61) $ (2.57) $ 0.8
Excluded from the calculation of common share equivalents:                      
Anti-dilutive common share equivalents (in shares)                 491,000   225,000
Unvested stock options that vest upon achievement of certain market conditions (in shares)                 333,000 333,000 333,000
[1] 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.
[2] 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."
[3] 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.