Forget room and board. R&B is not a qualified expense for either the AOC or for scholarships to be tax free.
R&B are qualified expenses for a 529 distribution, but you did not mention having one of those.
The 1098-T is only an informational document. The numbers on it are not required to be entered onto your tax return. You claim the tuition credit, or report scholarship income, based on your own financial records, not the 1098-T. Enter your amount as you know them to be.
