You do not have to do anything with the "Ending Carry Forward of Un-Reported Charges Billed" amount. The general rule is that you can deduct (or use as the basis for a credit) on your income tax return those qualified educational expenses that you actually paid in that tax year, for attendance at an eligible educational institution during that tax year. However, there is an exception (to allow for the way colleges actually register students for classes and issue bills) that you can deduct amounts paid in a tax year, for an academic period beginning in the first three months of the next tax year.
The 1098-T you receive for 2022 should provide for the Spring and Fall 2022 semesters.
