✨ fix(caching): use LiteLLM extra_body no-cache + expand CI (#27)

* ✨ fix(caching): use LiteLLM extra_body no-cache + expand CI

🧩 align disableCaching payload with extra_body.cache.no-cache
🧪 update types & client tests for cache behavior
🔧 broaden CI workflow coverage on push

* Fixing tests that triggered failures.