* fix(api): enhance model availability probing with backoff and caching mechanisms
* fix(lint): resolve gci and predeclared issues in model probe
* fix(api): address copilot review feedback on probe cache key and test stability
* fix(api): reduce probe cache key fragmentation
* feat(provider): add lmstudio vendor and local no-key behavior
* refactor(provider): consolidate protocol metadata and local tests
* fix(provider): sync lmstudio probing and model normalization
* test(web): format lmstudio model status cases for golines
LC