deps(runner): bump claude-agent-sdk 0.2.110, anthropic 0.113.0 (#1703)

## SDK Version Bump

- `claude-agent-sdk`: 0.2.105 -> 0.2.110
- `anthropic`: 0.111.0 -> 0.113.0

### TL;DR

- 0 new feature(s), 0 bug fix(es)

---
_Automated by `.github/workflows/sdk-version-bump.yml`_

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Co-authored-by: mergify[bot] <37929162+mergify[bot]@users.noreply.github.com>

Author: github-actions[bot]

components/runners/ambient-runner/pyproject.toml

@@ -23,8 +23,8 @@ dependencies = [
 
 [project.optional-dependencies]
 claude = [
-  "anthropic[vertex]>=0.111.0",
-  "claude-agent-sdk>=0.2.105",
+  "anthropic[vertex]>=0.113.0",
+  "claude-agent-sdk>=0.2.110",
 ]
 observability = [
   "langfuse>=3.14.5",