[clang] [llvm] [libclang/python][ci] Add release Clang Python Bindings CI workflow (PR #168234)

[Aiden Grossman via llvm-commits]

https://github.com/boomanaiden154 commented:

Can we split the `pyproject.toml` landing into a separate PR from setting up the CI workflow? They should be independent. Keeping this PR for just the package setup and dropping the CI workflow changes I think should work best.

https://github.com/llvm/llvm-project/pull/168234