I think as a PM you are well-positioned for this. Sure, there are still technical challenges for LLMs and other AI solutions but you don't gain value from implementing AI in your company.
Consulting with regard to a strategy around those tools is something reasonable. Not sure how many companies would pay for that but going in an understanding how the company currently operates and where AI could fit into these processes makes a lot of sense to me.
As a PM you should also have the high-level technical understanding and the business acumen to make that happen.