`PydanticDeprecatedSince20: The `dict` method is deprecated; use `model_dump` instead. Deprecated in Pydantic V2.0 to be removed in V3.0. See Pydantic V2 Migration Guide at https://errors.pydantic.dev/2.12/migration/`

Oh Yes, I missed that thanks for pointing it out.
Since the warning is originating from langsmith package itself, can you try updating the package to latest version