Initial Checks

• I have searched Google & GitHub for similar requests and couldn't find anything
• I have read and followed the docs and still think this feature is missing

Description

To avoid regressions in future releases, we are going to introduce a new workflow to run tests of various third-party libraries depending on Pydantic.

Here is a list of libraries we'd like to include:

• FastAPI
  • Add FastAPI and SQLModel to third-party tests #11044
  • Remove FastAPI tests from the ci.yml workflow.
    • Move FastAPI tests to third-party workflow #11164
• SQLModel
  • Add FastAPI and SQLModel to third-party tests #11044
• openapi-python-client (inter-dependent models, lots of non straightforward string annotations).
  • Add openapi-python-client to third-party tests #11171
• BeanieODM
  • Add third-party tests for BeanieODM #11177
• Pandera
  • Add pandera third-party tests #11193
• Polar
  • Add Polar third-party tests #11196
• ODMantic (uses internals)
  • Add ODMantic third-party tests #11197
• BentoML (uses internals)
  • Add BentoML and Semantic Kernel third-party tests #11469
• semantic-kernel
  • Add BentoML and Semantic Kernel third-party tests #11469
• Langchain
  • Adding langchain third party tests #11474
• Prefect (v3). Complex CI, uses Docker.
• Airflow: their CI is pretty complex, might need some help in setting up a minimal workflow
• fides?