I hadn't noticed that before; apparently you don't get the 2nd support question if you answer no to the first support question. That makes sense, if the answer to the first question is no; the answer to the 2nd question has to be no also. But you should have gotten a question about living parents.
From Pub 970:
A student does not qualify for the (up to) $1,000 refundable portion of the American Opportunity Credit (AOC) if items 1, 2, and 3 below apply to him.
1. He was:
.....a. Under age 18 at the end of 2019, or
......b. Age 18 at the end of 2019 and his earned income was less than one-half of his support, or
......c. A full-time student over age 18 and under age 24 at the end of 2019 and his earned income was less than one-half of his support .
2. At least one of his parents was alive at the end of 2019 (the "orphan question")
3. He is not filing a joint return with his spouse for 2019.
So, yes a part time student can get the credit, if he doesn't qualify as a dependent, but a full time student can't, As stupid as that sounds, it's the law. TT is doing it correctly, when you indicate full time student, under 24, not supporting yourself: no refundable AOC
