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/client.ts

@@ -65,6 +65,8 @@ export interface GatewayClient {
   // --- lobby ---
   lobbyEnqueue(variant: Variant): Promise<MatchResult>;
   lobbyPoll(): Promise<MatchResult>;
+  /** Leave the auto-match pool (idempotent); a cancelled quick-match must not stay queued. */
+  lobbyCancel(): Promise<void>;
 
   // --- game ---
   // Stage 13: the play loop exchanges alphabet indices, so submit/evaluate/exchange/

ui/src/lib/i18n/en.ts

@@ -94,7 +94,8 @@ export const en = {
 
   'chat.placeholder': 'Quick message…',
   'chat.send': 'Send',
-  'chat.nudge': 'Nudge',
+  'chat.nudge': 'Waiting for your move!',
+  'chat.nudgeAction': 'Nudge',
   'chat.empty': 'No messages yet.',
   'chat.nudged': '{name} nudged you',
 
@@ -155,6 +156,7 @@ export const en = {
   'error.hint_unavailable': 'No hints available.',
   'error.no_hint_available': 'No options with your letters.',
   'error.chat_rejected': 'Message rejected (too long or contains contact info).',
+  'error.nudge_too_soon': "Please don't rush your opponent so often.",
   'error.game_finished': 'This game is finished.',
   'error.not_a_player': 'You are not a player in this game.',
   'error.already_queued': 'You are already in the queue.',

ui/src/lib/i18n/ru.ts

@@ -95,7 +95,8 @@ export const ru: Record<MessageKey, string> = {
 
   'chat.placeholder': 'Короткое сообщение…',
   'chat.send': 'Отправить',
-  'chat.nudge': 'Поторопить',
+  'chat.nudge': 'Жду вашего хода!',
+  'chat.nudgeAction': 'Поторопить',
   'chat.empty': 'Сообщений пока нет.',
   'chat.nudged': '{name} торопит вас',
 
@@ -156,6 +157,7 @@ export const ru: Record<MessageKey, string> = {
   'error.hint_unavailable': 'Подсказки недоступны.',
   'error.no_hint_available': 'Нет вариантов с вашим набором.',
   'error.chat_rejected': 'Сообщение отклонено (слишком длинное или содержит контакты).',
+  'error.nudge_too_soon': 'Не стоит торопить соперника так часто.',
   'error.game_finished': 'Эта игра уже завершена.',
   'error.not_a_player': 'Вы не участник этой игры.',
   'error.already_queued': 'Вы уже в очереди.',

ui/src/lib/mock/client.ts

@@ -180,6 +180,11 @@ export class MockGateway implements GatewayClient {
     return { matched: false };
   }
 
+  async lobbyCancel(): Promise<void> {
+    // Dequeue: drop the pending substitution so a cancelled quick-match never arrives.
+    this.pendingMatch = null;
+  }
+
   // --- game ---
   async gameState(gameId: string, _includeAlphabet: boolean): Promise<StateView> {
     const g = this.game(gameId);

ui/src/lib/result.test.ts

@@ -48,6 +48,15 @@ describe('resultBadge', () => {
     });
   });
 
+  it('finished two-player: a 0-0 resignation is a defeat, not a score-tied win', () => {
+    // The opponent won by resignation (isWinner) although neither side scored — the lobby
+    // must read this as a loss, matching the game-detail screen (Stage 17 regression).
+    expect(resultBadge(game([seat(0, 'me', 0), seat(1, 'a', 0, true)]), 'me')).toEqual({
+      key: 'result.defeat',
+      emoji: '🥈',
+    });
+  });
+
   it('finished four-player: places by score', () => {
     const last = game([seat(0, 'me', 100), seat(1, 'a', 400, true), seat(2, 'b', 300), seat(3, 'c', 200)]);
     expect(resultBadge(last, 'me')).toEqual({ key: 'result.place4', emoji: '🏅' });

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: '🏅' };

ui/src/lib/transport.ts

@@ -80,6 +80,9 @@ export function createTransport(baseUrl: string): GatewayClient {
     async lobbyPoll() {
       return codec.decodeMatchResult(await exec('lobby.poll', codec.empty()));
     },
+    async lobbyCancel() {
+      await exec('lobby.cancel', codec.empty());
+    },
 
     async gameState(id, includeAlphabet) {
       return codec.decodeStateView(await exec('game.state', codec.encodeStateRequest(id, includeAlphabet)));