Looking again I'd add the full quart and monitor the level over time, until the next "flush" anyway. According to Blackstone Lab's along with Mark K on FTE 30K miles is the recommended change interval for most Ford automatic transmissions. Following is the text of BL's report on my 4R75-E flush earlier in 2022:
J W: Thanks for letting us know about the rebuild. All things considered, this sample looks very good.
Universal averages show typical wear for a Ford 4R75E transmission after about 33,300 miles of fluid use.
This ATF was in place longer, and wear metals are in great shape next to averages, showing healthy
internal wear. Insolubles (solids) are a bit high at 0.1%, so it's good this fluid was changed out. No
contamination was found, and the TAN is 1.2, showing only mild acidity. This is a good report, overall, but
we recommend sticking with ~50,000 miles next oil due to insolubles.
Just a few additional thoughts about the AFT "flush":
If you're capable or willing to DIY IMHO that's the best practice as it gives knowledge what was done including materials/parts used and more importantly by whom. The overfilling bit would be easy to do if not paying attention. That's not necessarily harmful but its annoying and unnecessary along with creating a mess, also avoidable. One can "creep up" on establishing the correct level after a few miles test driving.
I'm not overly familiar with the 5R110's "flush" procedure but that can be easily discovered here or through FTE, there might be a thermostat in the cooling circuit affecting how the DIY method would be affected.
Typically AFT isn't burned off unless there's another problem yet undiscovered. In the "flush" procedure its somewhat easy to not fill properly according to the dipstick but careful monitoring has you discovering that very quickly.
Just a few thoughts---YMMV quite literally!