ChatGPT in Zendesk Chat - is it possible already?

So, ChatGPT. I'm sure there are many applications that it could be used for, but I guess the Zendesk Chat is the main topic here.

I've searched all over the WEB, but can't find any solid information. I was surprised to see that there is no action regarding it here either - no articles or community posts. Especially given Zendesk's attention to AI, self-service, and industry trends - ChatGPT is nowhere to be seen in those resources. I'm sure it's a hot topic somewhere in the background though, as GPT is quickly becoming a functioning service, and if I'm understanding correctly, proper API is coming soon too.

Over the past couple of months, I've quickly gone through various stages: from "ChatGPT is just a thing that barely functions somewhere in a lab", to "Don't want the hassle of being an early adaptor", to "I can't ignore this any longer, how can I get the ball rolling?".

I'm struggling to understand how far out the technical availability is. Is Zendesk already working on making it available within their Chat? Or is that a joined integration project with OpenAI (requires more time)? Or are we waiting for that API to be dropped by OpenAI? Or can this already be implemented somehow? Or would we have to drop Zendesk Chat, and use a different Chat/Widget?

Does anyone here have any real-life experience (or even success) with this? What is the current state of availability, and is there a way to integrate ChatGPT into the existing Zendesk Chat/Widget?

Many thanks!