"They did report my 1098-T when filing for taxes though"
Then they claimed you as a dependent. The parent is not allowed to claim the tuition credit or deduction, unless the student is their dependent. That's a very common question here in the forum.
The HSA question is much less common and took a little research. From Pub 969 (page 3): "You can’t be claimed as a dependent on someone else’s 2019 tax return"
https://www.irs.gov/pub/irs-pdf/p969.pdf
So even though TT uses the wording "You told us you're claimed as a dependent on another person's return", it really means you CAN be claimed as a dependent on another person's return
