It does not matter who pays the tuition and other qualified expenses. The tuition credit follows the student's dependency. If you are a dependent, your parents are the only ones who can claim the tuition credit (there is a exception, if the student has a large amount of taxable income).
Furthermore, there's a new urban myth among college students that says they can get a $1000 from the government just for filing a tax form. For most of them, they simply aren't eligible. A full time unmarried student, under age 24, even if you don't qualify as a dependent, is only eligible for the refundable portion of the American Opportunity Credit if he supports himself by working. You cannot be supporting yourself on parental support, 529 plans or student loans & grants. It is usually best if the parent claims that credit.
You cannot claim the (up to) $1000 refundable credit if you are, or can be, claimed as a dependent by someone else.
Reference: Line 7 instructions for form 8863.
https://www.irs.gov/instructions/i8863#en_US_2024_publink53002gd0e674
https://www.irs.gov/instructions/i8863
