Fix filtering config save, auto-save, streamed results, improved AI prompt

- Add missing fields to FilteringConfigSchema (aiParseFiles, startupAdvanceCount,
  conceptAdvanceCount, notifyOnEntry, notifyOnAdvance) — Zod was silently
  stripping them on save
- Restore auto-save with 800ms debounce on config changes
- Add staggered animations for filtering results (stream in one-by-one)
- Improve AI screening prompt: file type label mappings, soft cap handling,
  missing documents = fail, better user prompt structure

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

src/app/(admin)/admin/rounds/[roundId]/page.tsx

@@ -1,6 +1,6 @@
 'use client'
 
-import { useState, useMemo, useCallback, useRef } from 'react'
+import { useState, useMemo, useCallback, useRef, useEffect } from 'react'
 import { useParams } from 'next/navigation'
 import Link from 'next/link'
 import type { Route } from 'next'
@@ -397,6 +397,20 @@ export default function RoundDetailPage() {
     updateMutation.mutate({ id: roundId, configJson: config })
   }, [config, roundId, updateMutation])
 
+  // ── Auto-save: debounce config changes and save automatically ────────
+  useEffect(() => {
+    if (!configInitialized.current) return
+    if (JSON.stringify(config) === JSON.stringify(serverConfig)) return
+
+    const timer = setTimeout(() => {
+      setAutosaveStatus('saving')
+      updateMutation.mutate({ id: roundId, configJson: config })
+    }, 800)
+
+    return () => clearTimeout(timer)
+    // eslint-disable-next-line react-hooks/exhaustive-deps
+  }, [config])
+
   // ── Computed values ────────────────────────────────────────────────────
   const projectCount = round?._count?.projectRoundStates ?? 0
   const stateCounts = useMemo(() =>