Enjoying this? Yes and No. Whenever an AVMA takes this long, I worry that either I have made it too hard or that I have inadvertently misled people with a less than perfect answer.
Old Greek? The idea of the AOTC can in some sense be traced back to the very earliest days of recorded philosophy, which of course includes quite a few old Greeks. That said, I don't think the AOTC is associated with a particular OG who was a "major proponent". (It's not like, say, stoicism, where—if you know about the topic—you'd immediately link it to Epictetus.)
Simulation hypothesis? No.

Vitalism? No.*applause of the kind that indicates that even though the answer is in some sense completely wrong, it is also absolutely the right kind of guess*

Hidden text

Remember that the audience have been watching this game for decades and have absolutely figured out the nuances of applause.

Deism? No.