feat(quiz): quiz game mode end-to-end (server mode + playable client UI)
Server:
- quiz mode (GameRound): in-memory FR question bank (mcq + truefalse),
per-room anti-repeat, first-vote lock, score = base + speed bonus ∝ time
left; registered via registerRound, loaded at startup
- shared: typed quiz payloads (QuizQuestionPayload / reveal truth / result)
- tests: quiz scoring, vote lock, bounds, reveal (bun test)
Client:
- room store handles round:start / voteAck / reveal / game:end
- RoomPage dispatches by status: lobby (host start controls) → quiz view
(question, countdown, vote, reveal + scoreboard) → game-end view
- replaces standalone lobby page
Roadmap V1 step 4. Verified end-to-end over the wire (start→vote→reveal→
score→next round→game:end, no answer leaked, anti-repeat works).
Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
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