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Related Party Transaction - Additional Information (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended
--- | --- | ---
Mar. 02, 2024 | Feb. 25, 2023 | Mar. 02, 2024 | Feb. 25, 2023
Related Party Transaction [Line Items] |  |  |  |
Total future minimum lease payments | $ 3,325 |  | $ 3,325 |
Rental expense | 354 | $ 150 | 977 | $ 646
Lee A. McIntyre III | Lessor - LDL, LLC |  |  |  |
Related Party Transaction [Line Items] |  |  |  |
Total future minimum lease payments | $ 200 |  | $ 200 |
Lease term | 5 years |  | 5 years |
Renewal term | 5 years |  | 5 years |
Extended term |  |  | 5 years |
Executive vice president departing year |  |  | 2023 |
Executive vice president departing effective date |  |  | Sep. 24, 2022 |
Lee A. McIntyre III | Maximum | Lessor - LDL, LLC |  |  |  |
Related Party Transaction [Line Items] |  |  |  |
Rental expense |  |  | $ 100 | $ 100

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