🔄 refactor: Migrate Cache Logic to TypeScript (#9771)

* Refactor: Moved Redis cache infra logic into `packages/api`
- Moved cacheFactory and redisClients from `api/cache` into `packages/api/src/cache` so that features in `packages/api` can use cache without importing backward from the backend.
- Converted all moved files into TS with proper typing.
- Created integration tests to run against actual Redis servers for redisClients and cacheFactory.
- Added a GitHub workflow to run integration tests for the cache feature.
- Bug fix: keyvRedisClient now implements the PING feature properly.

* chore: consolidate imports in getLogStores.js

* chore: reorder imports

* chore: re-add fs-extra as dev dep.

* chore: reorder imports in cacheConfig.ts, cacheFactory.ts, and keyvMongo.ts

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Co-authored-by: Danny Avila <danny@librechat.ai>

api/server/middleware/limiters/messageLimiters.js

@@ -1,7 +1,7 @@
 const rateLimit = require('express-rate-limit');
+const { limiterCache } = require('@librechat/api');
 const { ViolationTypes } = require('librechat-data-provider');
 const denyRequest = require('~/server/middleware/denyRequest');
-const { limiterCache } = require('~/cache/cacheFactory');
 const { logViolation } = require('~/cache');
 
 const {