Problem $6$: Tax Credits

Ted and Julia Higgins are married for all of $2023$ with an AGI of $$140,000.$ Their taxable income was $$100,000$ and their U$.$S$.$ tax liability is $$10,000.$

They have one child, Sophia, who is $23$ and a full$-$time student in her junior year at UCR. She incurred $$6,000$ of expenses for tuition and books and $$5,000$ for room and board. Half of her expenses were paid using scholarships and the remainder by Ted and Julia.

In addition, Ted received dividends of $$7,000$ from a foreign company on which he paid $$2,000$ in foreign taxes.

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