[client-python] chore(deps): update dependency pydantic-settings to >=2.13.1,<2.14.0

Author: renovate[bot]

pyproject.toml

@@ -32,7 +32,7 @@ dependencies = [
     "python_json_logger (>=3.3.0,<3.4.0)",
     "PyYAML (>=6.0,<6.1)",
     "pydantic (>=2.11.3,<2.12.0)",
-    "pydantic-settings (>=2.11.0,<2.12.0)",
+    "pydantic-settings (>=2.13.1,<2.14.0)",
     "requests (>=2.32.3,<2.33.0)",
     "setuptools (>=80.9.0,<80.10.0)",
     "cachetools (>=5.5.0,<5.6.0)",