perf: Redis pub/sub, PgBouncer, optimistic UI for high concurrency

- Add Redis 7 for pub/sub (lobby + chat real-time), rate limiting, caching
- Replace SSE DB polling with Redis pub/sub (lobby: instant approval, chat: instant delivery)
- Add PgBouncer (transaction mode, 500 client → 25 pool connections)
- Chat SSE stream via Redis pub/sub instead of 3s polling
- Optimistic UI in ChatPanel (messages appear before server confirms)
- Redis-based rate limiter (works across multiple app replicas)
- Prisma query optimization (select only needed fields)
- Chat message cache in Redis (10s TTL)
- Docker Compose: add redis, pgbouncer services with healthchecks
- Production: resource limits, 2 app replicas behind Traefik
- Update CLAUDE.md, README.md, .env.example, setup.sh

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

setup.sh

@@ -194,6 +194,11 @@ ACME_EMAIL=${ACME_EMAIL}
 DATABASE_URL=postgresql://postgres:${PG_PASSWORD}@localhost:5432/liveserver
 POSTGRES_PASSWORD=${PG_PASSWORD}
 
+# Redis
+# For Docker containers: redis://redis:6379
+# For local npm run dev: redis://localhost:6379
+REDIS_URL=redis://localhost:6379
+
 # LiveKit
 LIVEKIT_URL=${LK_URL}
 NEXT_PUBLIC_LIVEKIT_URL=${LK_URL}
@@ -246,7 +251,7 @@ echo -e "  Запуск Docker контейнеров..."
 if [[ "$MODE" == "2" ]]; then
   docker compose -f docker-compose.yml -f docker-compose.prod.yml up -d --build 2>&1 | tail -5
 else
-  docker compose up -d postgres minio 2>&1 | tail -5
+  docker compose up -d postgres minio redis 2>&1 | tail -5
 fi
 log_ok "Docker контейнеры запущены"