Stage 17 round 5 — backend/correctness bug fixes

- Resign on the opponent's turn: engine ResignSeat(seat) resigns a specific seat
  (not just toMove); game.Resign bypasses the turn check and forfeits the actor's seat.
- Quick-match cancel was a UI no-op (only stopped polling): add the full path
  (REST /lobby/cancel -> gateway lobby.cancel -> client) and clear the matchmaker's
  pending result on Cancel, so a cancelled search is dequeued (no 'already queued', no
  later robot-substituted game). NewGame dequeues on cancel and on abandon.
- Lobby win/loss: result.ts ranked by score, so a 0-0 resignation read as a win.
  The winner now takes rank 1 and the viewer is placed from rank 2 — matching the
  game-detail screen.
- Friend request to a robot: robots no longer block requests; the request stays
  pending and expires (friendRequestTTL), mirroring a human who ignores it.
- Nudge cooldown: ErrNudgeTooSoon now maps to a distinct nudge_too_soon code with a
  correct message; the chat nudge button disables during the hourly cooldown; the
  nudge note reads 'Waiting for your move!' (button keeps the Nudge action label).
Tests: engine/service off-turn resign, matchmaker cancel-clears-result, friend-to-robot
inttest, result.ts 0-0 resignation, nudge_too_soon mapping.

ui/src/lib/result.ts

@@ -21,9 +21,11 @@ export function resultBadge(game: GameView, myId: string): ResultBadge {
   if (me?.isWinner) return { key: 'result.victory', emoji: '🏆' };
   if (!game.seats.some((s) => s.isWinner)) return { key: 'result.draw', emoji: '🏅' };
 
-  // Someone else won — place the viewer by score (1 + number of higher scores).
-  const rank = 1 + game.seats.filter((s) => s.score > (me?.score ?? 0)).length;
-  if (rank <= 1) return { key: 'result.victory', emoji: '🏆' };
+  // Someone else won and it is not me, so I did not win — even when scores are level (a
+  // win by resignation or timeout can leave the winner at or below my score). The winner
+  // takes rank 1; place me among the remaining seats by score, starting at rank 2.
+  const ahead = game.seats.filter((s) => !s.isWinner && s.accountId !== myId && s.score > (me?.score ?? 0)).length;
+  const rank = 2 + ahead;
   if (rank === 2) return game.players === 2 ? { key: 'result.defeat', emoji: '🥈' } : { key: 'result.place2', emoji: '🥈' };
   if (rank === 3) return { key: 'result.place3', emoji: '🥉' };
   return { key: 'result.place4', emoji: '🏅' };