If you are giving her the money even if it is as a gift, you are providing that money/support. So if your gifts provided more than half of her support, you can claim her, but you don't have to.
In order for her to claim the education credits, she can't be claimed. This years instructions for form 8863 (education credits) just say "You cannot be claimed as a dependent" It does not say you cannot be eligible to be claimed. So if you do not claim her, she can take the credit.
https://www.irs.gov/pub/irs-pdf/i8863.pdf
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