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Related Party - Summary of Related Party Transaction (Details Textual) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Mar. 30, 2025
Mar. 31, 2024
Mar. 30, 2025
Mar. 31, 2024
Jun. 30, 2024
Related Party Transaction [Line Items]          
Net sales $ 144,082 $ 140,773 $ 413,053 $ 394,711  
Accounts payable 72,582   72,582   $ 54,911
ADAC          
Related Party Transaction [Line Items]          
Management fee expense 2,488 2,514 7,284 6,918  
Accounts receivable 754   754   833
Accounts payable 6,538   6,538   $ 1,679
Related Party | ADAC          
Related Party Transaction [Line Items]          
Net sales $ 1,604 $ 2,460 $ 5,227 $ 7,315