language_models: Add support for using OpenAI Responses API through Zed provider (#46482)

This PR adds support for using the OpenAI Responses API through the Zed
provider.

This is gated behind the `open-ai-responses-api` feature flag.

Part of CLO-34.

Release Notes:

- N/A
451bf25d1cMarshall Bowers committed on 1/9/2026, 10:10:11 PM· committed by GitHubparent613183b
5 files changedLine totals unavailable