fix: scoring & game logic bugs — arena modifiers, human timeout, validated prompts

- scoring.ts: wire arena damage modifiers (speed_2x, roast_2x, etc.) into applyModifiers()
- human-responses.ts: use challenge.timeout_ms instead of hardcoded 8s
- FightPage.vue: add route watcher for clean state reset on navigation
- Validated all 800 prompts: 0 duplicates, all factual have answers, all choices have 4 items

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

server/src/engine/human-responses.ts

@@ -18,7 +18,7 @@ interface PendingChallenge {
 
 const pending = new Map<string, PendingChallenge>()
 
-const HUMAN_TIMEOUT_MS = 8_000
+const DEFAULT_HUMAN_TIMEOUT_MS = 8_000
 
 export function isHumanPlayer(webhookUrl: string): boolean {
   return webhookUrl === 'http://human.local/'
@@ -231,12 +231,13 @@ export function waitForHumanResponse(
 ): Promise<{ answer: string | null; trashTalk?: string; timedOut: boolean }> {
   return new Promise((resolve) => {
     const key = `${fightId}:${botId}`
+    const timeoutMs = challenge.timeout_ms || DEFAULT_HUMAN_TIMEOUT_MS
 
     const timeoutHandle = setTimeout(() => {
       pending.delete(key)
-      console.log(`[human] ${key} timed out after ${HUMAN_TIMEOUT_MS}ms`)
+      console.log(`[human] ${key} timed out after ${timeoutMs}ms`)
       resolve({ answer: null, timedOut: true })
-    }, HUMAN_TIMEOUT_MS)
+    }, timeoutMs)
 
     const choices = generateChoices(challenge)
 
@@ -290,15 +291,16 @@ export function getPendingChallenge(
   const entry = pending.get(key)
   if (!entry) return null
 
+  const timeoutMs = entry.challenge.timeout_ms || DEFAULT_HUMAN_TIMEOUT_MS
   const elapsed = Date.now() - entry.createdAt
-  const remaining = Math.max(0, HUMAN_TIMEOUT_MS - elapsed)
+  const remaining = Math.max(0, timeoutMs - elapsed)
 
   return {
     type: entry.challenge.type,
     label: entry.challenge.label,
     prompt: entry.challenge.prompt,
     roundNumber: entry.roundNumber,
-    timeoutMs: HUMAN_TIMEOUT_MS,
+    timeoutMs,
     remainingMs: remaining,
     scoring: entry.challenge.scoring,
     choices: entry.choices,