Let's work backwards. You want $4,000 of AOTC.
This leaves $12, 695 tuition plus room and board of $9925 which is greater than $20,000. You are not required to enter the 529 information at all since all of it goes to qualified expenses.
See page 52 for qualified distributions at IRS Publication 970, Tax Benefits for Education.
Please see my 529 example with IRS information here.
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