chore(deps): update dependency pydantic-ai to >=1.36.0

[renovate]

This PR contains the following updates:

Package	Change	Age	Confidence
pydantic-ai (changelog)	>=1.35.0 -> >=1.36.0

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Release Notes

pydantic/pydantic-ai (pydantic-ai)

v1.36.0: (2025-12-18)

Compare Source

What's Changed

• Add AI SDK data chunk ID and tool approval types by @​bendrucker in #​3760
• Ensure type field when converting const to enum in GoogleJsonSchemaTransformer by @​majiayu000 in #​3751
• Bump google-genai to 1.56.0 by @​petersli in #​3770

New Contributors

• @​majiayu000 made their first contribution in #​3751
• @​bendrucker made their first contribution in #​3760

Full Changelog: pydantic/pydantic-ai@v1.35.0...v1.36.0

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[claude]

Review Summary

This is a straightforward dependency update from Renovate that bumps pydantic-ai from >=1.35.0 to >=1.36.0 in the examples optional dependencies.

✅ Code Quality

• Clean dependency version bump
• Lock file properly updated
• No code changes required

✅ Compatibility Check

Reviewed examples/anthropic_comparison/mcp_optimizer_agent.py which uses pydantic-ai. The changes in v1.36.0 are:

• AI SDK data chunk ID and tool approval types
• Google JSON schema transformer fixes
• Bump of google-genai dependency

None of these changes affect the APIs used in the example (Agent, AgentRunResult, message types, models).

✅ Testing

The PR should be merged after CI passes to ensure:

• No breaking changes in the pydantic-ai upgrade
• Example code still functions correctly

📝 Recommendation

LGTM - Approve and merge after CI passes. This is a minor version bump with no breaking changes for the current usage.

Estimated review time: <1 minute