I cheekily refer to it as Al (like, short for Albert) because Google seems to love to shove Al's overviews in my search results.

But when I'm being more serious I'd usually just say "I asked GPT"

I have a colleague who just refers to AI as "Chat" which I think is kinda cute, but people also use the term "chat" to refer to... Like, people, or "yall". Or to their stream chat.