Ask HN: What is the term for GAI-based serverice “Generation Engine”

I've had this discussion internally with colleagues about what to call GAI services like Chate-GPTx (where one can enter a query in hopes of recieving a generative response, like new source code, narratives, and concievably images, etc." It's not really a search engine (though the debate continues as you could imagine GAI as an engine that searches a solution space. "Generation Engine" seems apt to us, but I wanted to crowdsource in hopes of finding the term used by the technical community at large.