fix(deps): update dependency pydantic-settings to v2.13.0 (#425)

This PR contains the following updates:

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[pydantic-settings](https://redirect.github.com/pydantic/pydantic-settings)
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| `==2.12.0` → `==2.13.0` |
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### Release Notes

<details>
<summary>pydantic/pydantic-settings (pydantic-settings)</summary>

###
[`v2.13.0`](https://redirect.github.com/pydantic/pydantic-settings/compare/v2.12.0...v2.13.0)

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Source](https://redirect.github.com/pydantic/pydantic-settings/compare/v2.12.0...v2.13.0)

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pyproject.toml

@@ -9,7 +9,7 @@ dependencies = [
     "pillow==12.1.1",
     # this should be part of standard-no-fastapi-cloud-cli, but is missing:
     # see: https://github.com/fastapi/fastapi/blob/6fae64ff49e8328048872714652a4dfa15406e41/pyproject.toml#L94-L98
-    "pydantic-settings==2.12.0",
+    "pydantic-settings==2.13.0",
     # for Python 3.14 compatibility:
     "uvloop>=0.22.0",
     "pydantic_core>=2.40.0",