Gateway API Inference Extension

[shaneutt]

The purpose of this task is to add the APIs from the Gateway API Inference Extension (GIE), adapting our current generators to emit those alongside the regular APIs.

A new inference-extension feature should be added to enable these APIs.

[nitishkumar71]

I can work on this. I am still familiarizing my self with project tooling but should be able to do so in some time.

[shaneutt]

Sounds good @nitishkumar71. Keep in mind that the GIE is an optional extension. It's related, but technically it's own set of APIs. We currently have standard and experimental as features, this would need to be an optional feature as well. It actually needs both dimensions: its own feature to enable it, and then it has its own standard and experimental. Let us know if you need any support!