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Debt - Schedule of Classification of Interest (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Feb. 23, 2025	Feb. 25, 2024	Feb. 23, 2025	Feb. 25, 2024
Debt Disclosure [Abstract]
Expensed in statement of operations	$ 5,481	$ 4,289	$ 16,314	$ 12,300
Capitalization of non-cash interest to property, plant, and equipment	798	1,187	2,254	3,250
Total interest incurred	$ 6,279	$ 5,476	$ 18,568	$ 15,550

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