Thanks to
@OuterUB for the thread and
@Jimmy07 for guiding me based what I was finding.
2022 Ram 2500 CCSB 6.7 Cummins
I looked for the switch first while I waited on the mirrors to go on sale. I looked for the part number in the list posted by the OP and it offered me 68590582AA as its replacement.
After installing the mirrors, I turned on the folding mirror option and confirmed the modules installed would not work. (Orignal modules: Left 68569319AA, Right 68569318AA)
When I went looking for the AG door modules, the vehicle fit check said they did not fit and it offered me alternatives (left=68569321AA and right=68569320AA). The dealer said the AG's only showed through 2021 in his catalog. Jimmy07 was kind enough to confirm these alternatives provided the necessary functionality in addition to everything I already had (running lights, heated mirrors, turn signals). These modules even turned out to be less expensive than the AG modules listed in the thread.
Well, I got the modules today, installed them, and now I have folding mirrors.
I went with Boost Auto Parts GM style Dodge Ram 2500/3500 Tow Mirrors Style 2. I ordered them as if I had factory folding mirrors and only had to replace the modules and driver's side switch to make them work (along with turning on the option with OBD JSCAN). This works much better for me as it uses the factory button to fold the mirrors. They have an optional control that will fold the mirrors, but this is cleaner to me.
I hope this helps someone else wanting this option.
Edit:
I did not notice until this past weekend that my auto down/up stopped working after the module replacement. I Googled and found the solution. Push the driver's window down button until the window is fully down. Hold the button down for 5 seconds. Pull the button to raise the window, hold the button 5 seconds in the up position. Auto up/down issue resolved. Check passenger button and repeat if necessary.
