Paola and Isidora are married; file a joint tax return; report modified AGI of $$121,115$; and have one dependent child, Dante. The couple paid $$10,485$ of tuition and $$15,540$ for room and board for Dante $($a freshman$).$ Dante is a full$-$time student and claimed as a dependent by Paola and Isidora.

Determine the amount of the American Opportunity credit for $2023.$