Bump pydantic-settings from 2.11.0 to 2.12.0 in /integrations/beads-mcp (#286)

Bumps [pydantic-settings](https://github.com/pydantic/pydantic-settings) from 2.11.0 to 2.12.0.
- [Release notes](https://github.com/pydantic/pydantic-settings/releases)
- [Commits](https://github.com/pydantic/pydantic-settings/compare/v2.11.0...v2.12.0)

---
updated-dependencies:
- dependency-name: pydantic-settings
  dependency-version: 2.12.0
  dependency-type: direct:production
  update-type: version-update:semver-minor
...

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Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>

integrations/beads-mcp/pyproject.toml

@@ -8,7 +8,7 @@ license = {text = "MIT"}
 dependencies = [
     "fastmcp==2.13.0.2",
     "pydantic==2.12.0",
-    "pydantic-settings==2.11.0",
+    "pydantic-settings==2.12.0",
 ]
 authors = [
     {name = "Beads Contributors"}