You don't get that question, unless you check that you were a full time student, in the personal info section and birthdate indicates that you were under 24 in 12-31-23. The question is: did you provide more than half your own support with EARNED INCOME. This is to determine eligibility for the refundable portion of the American Opportunity Tuition Credit. Paying half your own support is not enough. You have to support yourself by working.
As to the dependency test, TurboTax only asks if you can be claimed as a dependent and then whether you actually will be. It does not ask about your support.