Ability to retrieve the protocol response headers in InferenceClient

[fxmarty]

As per title, it would be helpful to be able to retrieve the header as is possible with curl --include.

Example of a useful response header:

(base) felix@azure-amd-mi300-dev-01:~$ curl 0.0.0.0:80/generate -X POST -d '{"inputs":"Today I am in Paris and","parameters":{"max_new_tokens": 3, "details": true}}' -H 'Content-Type: application/json' --include
HTTP/1.1 200 OK
content-type: application/json
x-compute-type: gpu+optimized
x-compute-time: 0.111191439
x-compute-characters: 23
x-total-time: 111
x-validation-time: 0
x-queue-time: 0
x-inference-time: 110
x-time-per-token: 36
x-prompt-tokens: 7
x-generated-tokens: 3
content-length: 318
access-control-allow-origin: *
vary: origin
vary: access-control-request-method
vary: access-control-request-headers
date: Tue, 14 May 2024 12:57:59 GMT

[Wauplin]

Hi @fxmarty, thanks for the feature request. Any suggestion on how this information should/could be returned in the current InferenceClient framework? Open to suggestions on that.