refactor(llm): use litellm params for reasoning support #8532

Job	Run time
build-binary-and-test (macos-latest)	2m 31s
build-binary-and-test (ubuntu-latest)	2m 27s
Check OpenAPI Schema	32s
Build & Push (golang-amd64)	6m 55s
Build & Push (python-arm64)	5m 45s
Build & Push (golang-arm64)	8m 33s
Build & Push (java-amd64)	7m 54s
Build & Push (java-arm64)	6m 10s
Build & Push (python-amd64)	6m 32s
Merge Multi-Arch Manifests (java)	20s
Merge Multi-Arch Manifests (golang)	17s
Merge Multi-Arch Manifests (python)	14s
Consolidate Build Information	7s
Update PR description with agent server image	4s
	48m 21s

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