Do I qualify for the tax break for college tuition if my parents, who claim me, also claimed the 1098-T?

No. You can’t claim the American Opportunity Credit or the Lifetime Learning Credit if you’re claimed as a dependent on someone else’s tax return. Also, the same expenses can't be claimed twice on separate tax returns.

Here are 2 articles you may find helpful: Education credits - AOTC and LLC, How do Education Tax Credits Work?