[Feature] Support OpenAI latest Response API

[wenjin272]

Search before asking

• [x] I searched in the issues and found nothing similar.

Description

According to OpenAI documents

The Responses API is a core agentic API primitive, combining the simplicity of Chat Completions with the ability to do more agentic tasks and express powerful reasoning. While Chat Completions remains supported, Responses is recommended for all new projects.

Compared with Chat Completions API, Response API supports more built-in tools, mcp and reasoning summaries.

Are you willing to submit a PR?

• [ ] I'm willing to submit a PR!