[Feature][Responses API] Support logprobs

[heheda12345]

🚀 The feature, motivation and pitch

Current response API returns empty on logprobs like:

vllm/vllm/entrypoints/openai/serving_responses.py

Line 550 in 0167efe

logprobs=None, # TODO

vllm/vllm/entrypoints/openai/serving_responses.py

Line 897 in 0167efe

logprobs=[],

We need to return the logprobs when users need it.

Alternatives

No response

Additional context

No response

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[kebe7jun]

I would be happy to implement this feature.

[heheda12345]

Assigned! Let's keep in touch for this feature.