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Nudge badges lingered in the lobby on games that ended by turn-timeout, resignation or forfeit: those paths commit the finish directly, bypassing the move path's per-mover NudgeClearer, so the awaited seat's nudge was never marked read. A finished game's nudges are stale, so clear them all. Add a wired NudgeExpirer (social.ExpireNudges) called from the shared commit finish block — covering every completion path — and from the voidGame recovery path. It clears every seat's nudge bits for the game and leaves chat messages unread; unlike ClearNudges it records no publish-to-read latency, since a completion is an expiry, not a read. An integration test reproduces the timeout case (nudge cleared, chat kept). Docs: ARCHITECTURE §9.1, FUNCTIONAL (+_ru), backend/README.