chore(deps): update dependency pydantic-ai to >=1.34.0

[renovate]

This PR contains the following updates:

Package	Change	Age	Confidence
pydantic-ai (changelog)	>=1.33.0 -> >=1.34.0

---

Warning

Some dependencies could not be looked up. Check the Dependency Dashboard for more information.

---

Release Notes

pydantic/pydantic-ai (pydantic-ai)

v1.34.0: (2025-12-16)

Compare Source

What's Changed

• Add Web Chat UI for any agent that can be launched using clai web or Agent.to_web() by @​dsfaccini in #​3456
• Support FileUrl.force_download in AnthropicModel and OpenAIResponsesModel by @​dsfaccini in #​3694
• Fix using sync history processors, instructions functions, and output functions with TemporalAgent by @​dsfaccini in #​3704
• Make OpenRouterProvider and DeepSeekProvider __init__ overloads less restrictive by @​xcpky in #​3739
• Bump min version of griffe to 1.14.0 by @​jerry-reevo in #​3743

Full Changelog: pydantic/pydantic-ai@v1.33.0...v1.34.0

---

Configuration

📅 Schedule: Branch creation - At any time (no schedule defined), Automerge - At any time (no schedule defined).

🚦 Automerge: Disabled by config. Please merge this manually once you are satisfied.

♻ Rebasing: Whenever PR becomes conflicted, or you tick the rebase/retry checkbox.

🔕 Ignore: Close this PR and you won't be reminded about this update again.

---

• If you want to rebase/retry this PR, check this box

---

This PR was generated by Mend Renovate. View the repository job log.

[claude]

PR Review: Dependency Update pydantic-ai 1.33.0 → 1.34.0

Summary

✅ Approved - This is a straightforward dependency update with no breaking changes.

Code Quality

• Clean dependency update following standard practices
• Lock file properly updated with all transitive dependencies
• Version constraint correctly uses >= for compatibility

Changes Analysis

The update brings:

• Web Chat UI feature (not used in this codebase)
• FileUrl.force_download support (not used in this codebase)
• Bug fixes for TemporalAgent sync functions (not used in this codebase)
• Provider init improvements (not used in this codebase)

Impact: None. The codebase only uses basic pydantic-ai features (Agent, AgentRunResult, message types) in examples/anthropic_comparison/mcp_optimizer_agent.py:11-15. All used APIs remain stable.

Recommendations

1. ✅ Merge after CI passes
2. Monitor for runtime issues (low risk)

Review time: < 1 min