fix(multi): prevent host pruning and increase timeout to 90s

- Exempt host from inactivity pruning to prevent room corruption
- Increase player timeout from 45s to 90s for slower connections
- Reduce heartbeat interval from 20s to 15s for better coverage
- Refresh all players' lastSeen on nextRound/resetGame to avoid immediate pruning

lib/badges.ts

@@ -1,16 +1,16 @@
 export type Badge = { name: string; file: string; threshold: number };
 
 export const BADGES: Badge[] = [
-  { name: "Omniscient",   file: "omniscient",   threshold: 10000 },
-  { name: "Transcendant", file: "transcendant", threshold: 5000  },
-  { name: "Mythique",     file: "mythique",     threshold: 2500  },
-  { name: "Légende",      file: "légende",      threshold: 1000  },
-  { name: "Maître",       file: "maître",       threshold: 500   },
-  { name: "Expert",       file: "expert",       threshold: 150   },
-  { name: "Adepte",       file: "adepte",       threshold: 50    },
-  { name: "Initié",       file: "initié",       threshold: 20    },
-  { name: "Apprenti",     file: "apprenti",     threshold: 5     },
-  { name: "Novice",       file: "novice",       threshold: 0     },
+  { name: "Omniscient", file: "omniscient", threshold: 10000 },
+  { name: "Transcendant", file: "transcendant", threshold: 5000 },
+  { name: "Mythique", file: "mythique", threshold: 2500 },
+  { name: "Légende", file: "légende", threshold: 1000 },
+  { name: "Maître", file: "maître", threshold: 500 },
+  { name: "Expert", file: "expert", threshold: 150 },
+  { name: "Adepte", file: "adepte", threshold: 50 },
+  { name: "Initié", file: "initié", threshold: 20 },
+  { name: "Apprenti", file: "apprenti", threshold: 5 },
+  { name: "Novice", file: "novice", threshold: 0 },
 ];
 
 export function getBadge(wins: number): Badge {