[FEATURE]: Add Responses API Support for Azure OpenAI Provider

[kunalk16]

Feature Area

Other (please specify in additional context)

Is your feature request related to a an existing bug? Please link it here.

Azure OpenAI endpoints now support OpenAI Responses API to keep parity with OpenAI.
Below are the advantages of Responses API over Chat Completions API:

Request is to Support Azure OpenAI responses API

Describe the solution you'd like

When api="responses" is passed to the Azure provider, delegate to the existing OpenAICompletion Responses API implementation with base_url set to the Azure resource's /openai/v1/ endpoint. This reuses the fully-tested OpenAI Responses API code path — no new API logic is needed, just delegating to connect the Azure provider to it.

Describe alternatives you've considered

No response

Additional context

Azure OpenAI Provider

Willingness to Contribute

Yes, I'd be happy to submit a pull request

[kunalk16]

@joaomdmoura Requesting to kindly review this PR(#5201). It has been tested and all the repo rules have been followed.

[kunalk16]

@joaomdmoura / @greysonlalonde / @iris-clawd / @lucasgomide / @lorenzejay / @alex-clawd
Hello Reviewers,
Sorry for tagging like this but I'm not sure how to communicate this. I would really appreciate if you could have a look at this PR(#5201) and review. It is a simple and useful change.

[kunalk16]

@joaomdmoura / @greysonlalonde / @iris-clawd / @lucasgomide / @lorenzejay / @alex-clawd
Hello Reviewers,
I would really appreciate if you could have a look at this PR(#5201) and review. It is a simple and useful change.

[kunalk16]

@joaomdmoura / @greysonlalonde / @iris-clawd / @lucasgomide / @lorenzejay / @alex-clawd
Hello Reviewers,
I would really appreciate if you could have a look at this PR(#5201) and review. It is a simple and useful change. Please ack this. I have fixed the merge conflicts as well and have done through testing. This PR has been pending for a while now.