Education credits and dependent

My student received scholarships that covered her full tuition in 2025 and part of room and board. She had to pay $1800 out of pocket for those expense. The other two semesters she worked at a paid coop program, approved by school, and made $30,000. I wanted to check how would TurboTax calculate her tax liability if we did not claim her as a dependent since she had that income. TurboTax calculated that she is eligible for Education Credit of $1500 and American Opportunity Credit as a tax refund. Is that a mistake?

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