Yes your dependent student may claim the (non-refundable portion) credit.
In your situation, support does not matter since you are saying
that the student IS a dependent
The dependent student in this situation can file a return and claim the non-refundable portion of the credit-
they select "Another taxpayer can claim me"
BUT THEY ALSO SELECT "Another taxpayer will not claim me"
They would continue through the TurboTax program, enter the education expenses and if they qualify, they would get the non-refundable portion of the credit.
A non-refundable credit means the credit can lower the tax liability, but not below zero. If there is excess credit, that excess is lost.
The student is filing as a dependent, so they do not need to meet the requirements of not being a dependent.
See IRS Pub 970 page 20
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