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    "Sampled LP and smooth translation are heuristic proposal tools, not geometric certificates",
    "Exact replay may stop below numerical handoff coverage; report actual certified value",
    "Completion searches a finite library; no guarantee at 80% or 90%",
    "Residual shape proxies do not certify thin necks, fabrication, or assembly",
    "Phase budgets are cooperative; root setup and independent verification are additional"
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}