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Goodwill and Intangible Assets - Components of Identifiable Intangible Assets (Detail) - USD ($) $ in Thousands | Dec. 28, 2023 | Jun. 29, 2023 | Dec. 29, 2022
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Finite-Lived Intangible Assets [Line Items] |  |  |
Total intangible assets, gross | $ 39,570 | $ 38,720 | $ 38,740
Less accumulated amortization: |  |  |
Total accumulated amortization | (32,986) | (32,062) | (31,179)
Net intangible assets | 6,584 | 6,658 | 7,561
Customer Relationships [Member] |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Total intangible assets, gross | 21,350 | 21,350 | 21,370
Less accumulated amortization: |  |  |
Total accumulated amortization | (20,356) | (19,834) | (19,311)
Brand Names [Member] |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Total intangible assets, gross | 17,070 | 17,070 | 17,070
Less accumulated amortization: |  |  |
Total accumulated amortization | (12,314) | (11,955) | (11,598)
Product Formulas [Member] |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Total intangible assets, gross | 850 | 0 | 0
Less accumulated amortization: |  |  |
Total accumulated amortization | 40 | 0 | 0
Non-compete Agreement [Member] |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Total intangible assets, gross | 300 | 300 | 300
Less accumulated amortization: |  |  |
Total accumulated amortization | $ (276) | $ (273) | $ (270)

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