chore(deps): update dependency pydantic to v2.11.1

Author: renovate[bot]

dist_vercel/requirements.txt

@@ -18,7 +18,7 @@ markdown-it-py==3.0.0
 markupsafe==3.0.2
 mdurl==0.1.2
 orjson==3.10.15
-pydantic==2.10.6
+pydantic==2.11.1
 pydantic-core==2.27.2
 pydantic-extra-types==2.10.2
 pydantic-settings==2.8.1