Support Bailing LLM from ALIPAY for #3487

[cuauty]

Why are these changes needed?

This PR implements the support for Bailing reasoning. The Bailing LLM provides the HTTP end point for reasoning and can be acessed by HTTP Post.

Related issue number (if applicable)

Close #3487

Checks

• [x] I've run format.sh to lint the changes in this PR.
• [x] I've included any doc changes needed.
• [x] I've made sure the relevant tests are passing (if applicable).