What would be the most advantageous education credit for the Dixons if their modified adjusted gross income $($AGI$)$ was $$165,000?$

American Opportunity Tax Credit $($AOTC$)$ for $$1,500$ as a nonrefundable credit and $$1,000$ as a refundable credit.

American Opportunity Tax Credit $($AOTC$)$ for $$1,125$ as a nonrefundable credit and $$750$ as a refundable credit.

American Opportunity Tax Credit $($AOTC$)$ for $$2,500$ as a refundable credit.

Lifetime learning credit for $$2,000$ as a nonrefundable credit.