fix: result screen "play again" preserves game mode and settings

- endGame and handleExit pass mode/numPlayers/seats/humanCount/difficulty
  to the result scene
- Result "play again" restarts with same settings (not always 4p bot)
- Live mode "play again" goes to queue (finds new match, not old one)
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

public/js/modules/ludo/scenes/game.js

@@ -1370,7 +1370,7 @@ async function handleExit(el) {
   }
 
   scene.exitGameMode();
-  scene.replace('ludo-result', { result: 'loss', resigned: true });
+  scene.replace('ludo-result', { result: 'loss', resigned: true, mode: game.mode, numPlayers: game.numPlayers, seats: game.activeSeats, humanCount: game.humanPlayers?.length, difficulty: game.difficulty });
   bus.emit('game:ended', { gameKey: 'ludo', result: 'loss', resigned: true });
 }
 
@@ -1424,7 +1424,7 @@ function endGame(el) {
 
   setTimeout(() => {
     scene.exitGameMode();
-    scene.replace('ludo-result', { result, place, winners: game.winners });
+    scene.replace('ludo-result', { result, place, winners: game.winners, mode: game.mode, numPlayers: game.numPlayers, seats: game.activeSeats, humanCount: game.humanPlayers?.length, difficulty: game.difficulty });
     bus.emit('game:ended', { gameKey: 'ludo', result, place });
   }, 1500);
 }

public/js/modules/ludo/scenes/result.js

@@ -72,7 +72,18 @@ export function mountResult(el, params) {
 
   el.querySelector('#btn-again').addEventListener('click', () => {
     audio.play('click');
-    scene.replace('ludo-game', { mode: 'bot' });
+    if (params.mode === 'live') {
+      scene.replace('play-queue', { game: 'ludo', mode: 'human', playerCount: params.numPlayers || params.playerCount || 4, seats: params.seats });
+    } else {
+      scene.replace('ludo-game', {
+        mode: params.mode || 'bot',
+        numPlayers: params.numPlayers,
+        playerCount: params.playerCount,
+        seats: params.seats,
+        humanCount: params.humanCount,
+        difficulty: params.difficulty,
+      });
+    }
   });
   el.querySelector('#btn-back').addEventListener('click', () => {
     audio.play('click');