language_models: Remove `open-ai-reponses-api` feature flag (#47317)

This PR removes the `open-ai-responses-api` feature flag and makes it so
all OpenAI requests to the Zed provider use the Responses API.

We've been running this in Nightly/Preview for a week now without any
issues.

Closes CLO-104.

Release Notes:

- N/A
63543349c0Marshall Bowers committed on 1/21/2026, 7:35:08 PM· committed by GitHubparent901fe23
4 files changedLine totals unavailable