If My dependent student didn't receive a 1098-T due to scholarship can I still claim AOTC

My daughter didn't receive a 1098-T because her scholarship is greater than the tuition;  Her 2021 tuition was 8250 and she received a scholarship that covered the tuition and also received a monthly amount to cover room and board for $10350 and an additional $500 to cover misc expenses.  We also bought a new computer for 1650.  She also received 5150 as a beneficiary of a 529.  We did not write a check for the 8250 tuition but did write checks for the room, board and computer.  Can I still take $4000 of the scholarship and add it to my return for the AOTC credit even though she didn't get the 1098-T.  The formula I saw in another post made me think I could allocate the $5150 529 first, then $4000 on my return for the AOTC credit, then the rest would be considered taxable income on her return, but in the examples the person received a 1098-T and I then saw some other posts about having to have a 1098-T and write checks for the tuition to be able to claim the AOTC.