fix: escalating six-boost prevents stuck-at-home frustration

Track rollsWithoutSix per player. Each consecutive failed roll when
all pieces are home ramps the six probability harder — by roll 3-4
a human player has ~40-45% chance of six (vs 17% base). No more
watching bots play while stuck for 6+ turns.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

public/js/modules/ludo/logic/rules.js

@@ -22,7 +22,8 @@ export function createGame(numPlayers = 4) {
         { id: `${i}-3`, pos: -1, finished: false }
       ],
       finished: false,
-      consecutiveSixes: 0
+      consecutiveSixes: 0,
+      rollsWithoutSix: 0
     });
   }
   return {
@@ -39,15 +40,23 @@ export function createGame(numPlayers = 4) {
 
 export function rollDice(game, playerIdx) {
   if (!game || playerIdx == null) return Math.floor(Math.random() * 6) + 1;
+  const player = game.players[playerIdx];
   const ctx = getDiceContext(game, playerIdx);
   const weights = computeDiceWeights(ctx);
-  return weightedRoll(weights);
+  const result = weightedRoll(weights);
+  if (result === 6) {
+    player.rollsWithoutSix = 0;
+  } else {
+    player.rollsWithoutSix = (player.rollsWithoutSix || 0) + 1;
+  }
+  return result;
 }
 
 function getDiceContext(game, playerIdx) {
   const player = game.players[playerIdx];
   const piecesHome = player.pieces.filter(p => p.pos === -1 && !p.finished).length;
   const piecesFinished = player.pieces.filter(p => p.finished).length;
+  const rollsWithoutSix = player.rollsWithoutSix || 0;
 
   const progress = player.pieces.reduce((sum, p) => {
     if (p.finished) return sum + FINISH_POS;
@@ -65,7 +74,7 @@ function getDiceContext(game, playerIdx) {
   const isHuman = game.humanPlayers && game.humanPlayers.includes(playerIdx);
   const humanCount = game.humanPlayers ? game.humanPlayers.length : 1;
 
-  return { playerIdx, piecesHome, piecesFinished, progress, avgOthersProgress, maxOthersProgress, elapsed, isHuman, humanCount };
+  return { playerIdx, piecesHome, piecesFinished, rollsWithoutSix, progress, avgOthersProgress, maxOthersProgress, elapsed, isHuman, humanCount };
 }
 
 function computeDiceWeights(ctx) {
@@ -97,11 +106,16 @@ function computeDiceWeights(ctx) {
     w[4] = Math.max(0.8, w[4] - 0.15);
   }
 
-  // --- STUCK RESCUE: all pieces at home need a six ---
+  // --- STUCK RESCUE: escalates with each failed roll ---
+  // After 2 rolls without six, start boosting hard; by roll 4-5 it's nearly guaranteed
   if (ctx.piecesHome === 4) {
-    w[5] += ctx.isHuman ? 0.9 : 0.6;
+    const frustration = Math.min(ctx.rollsWithoutSix, 5);
+    const base = ctx.isHuman ? 0.5 : 0.3;
+    const escalation = frustration * (ctx.isHuman ? 0.6 : 0.4);
+    w[5] += base + escalation;
   } else if (ctx.piecesHome >= 3) {
-    w[5] += ctx.isHuman ? 0.5 : 0.3;
+    const frustration = Math.min(ctx.rollsWithoutSix, 4);
+    w[5] += (ctx.isHuman ? 0.3 : 0.2) + frustration * 0.25;
   }
 
   // --- FINISHING PUSH: accelerate endgame so it stays under 15 min ---