If the actual 2023 payroll is around $196M now, and if the luxury tax number is currently around $228M, and if this is true: "Finishing with a CBT number between $233MM and $253MM...would come with a maximum of $4MM in additional fees", then...
Adding a $25M player costs the Braves $29M and brings the actual 2023 payroll to $225M. That seems like a perfectly reasonable actual 2023 payroll number, so I wouldn't be surprised to see AA add a contact (or 2) with a total AAV right around $25M.
So that's the number I imagine AA has to spend on 2023 improvements: $25M.