[aviraj1805]

Adds the LiteLLM recipe in integrations/litellm/:

• agent.py: support agent with 3 fake tools, traced with openinference-instrumentation-litellm plus hand-made TOOL spans
• policy.json, expected.json, requirements.txt (pinned), traces/ from real runs
• README.md with the 9 sections, real faultgate output and gotchas
• tests/test_integrations.py: offline test that checks every integrations/*/expected.json

Results (openai/gpt-6-luna): clean exit 0, faulty exit 1 (unrecovered_tool_error), violation exit 1 (policy).
precheck reads 2 tool steps for each trace, matching the 2 tool calls the agent made.
DeepSeek was tried once: same results, but the faulty run also fires abstention.

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