Ok folks, I have it. I have the answer.
For those of us who don't like the term "The AI" or "An AI", I propose:
Automated Software System (A.S.S.)
e.g. "My ASS created this art".
If you find that gives ASSes too much autonomy (fair criticism), then you can try:
"I used my ASS to create this art".
you're welcome 🫡