Problem $6$: Tax Credits

Ted and Julia Higgins are married for all of $2023$ with an AGI of $$175,000$ which includes $$25,000$ of earned income for Ted and $$100,000$ of earned income for Julie. Their taxable income is $145,000$ and tax liability is $$20,000.$

They have two children, Bryan and Sophia, who meet all of the requirements of a qualifying child for $2023.$ Bryan is $12$ and attends high school full time. The Higgins spend $$10,000$ during $2023$ on child care for Bryan. Sophia is a full$-$time student in her junior year at UCR. The Higgins spend $$6,000$ on tuition, books and other course materials for Sophia during $2023.$

Required: What is the total amount of tax credits that the Higgins' can report on their tax return?