Your program is in complete charge of when and how much information is required at each stage of the 1040 preparation. It is incumbent upon you to include form 8606 whenever the classic IRA payments are entered. It was in the 2022 version, but if in 2023, it is still buried. I will try again, but more than once I have had to override the canned sequence and force entry of what should be commonplace (just as in 2022).
