Education

In TurboTax he would need to select 

"Another taxpayer can claim me on their tax return"

Once this is selected, he can choose 

"Another taxpayer will claim me in 2024"

or

"Another taxpayer will not claim me in 2024"

For the situation you are describing, if he is your dependent but you don't claim him for tax tear 2024

for the student's return, he would select 

"Another taxpayer can claim me on their tax return"

and 

"Another taxpayer will not claim me in 2024"

With those selections, he could get the non-refundable portion of the credit, but not the 1,000 refund.

If his Adjusted Gross Income is only 1,255, there wouldn't be any tax liability to apply the non-refundable portion of the credit to. In that case, you're better off with the 500 credit by claiming him on your return.