Stop in for a cup of coffee

Yes. Some A/C equiped cars raised the idle slightly when the A/C was on. It was done using an idle stop solenoid with a second position.

Try to get an alternator with better low rpm output or use a smaller pulley.
Getting an actual output test of an alternator, done at 14 Volts, is like asking for some great magical mystery. :rolleyes:
once in a blue moon you used to find this in a box with a remanufactured.
View attachment 1715277554

Notice that it was done at 13.1 Volts. So it can't even be compared to the shop manual test, which is done at 15 Volts.
However 13.1 is just about high enough that the battery won't have to supply any juice. So at least its useful, unlike a test done at 12 or 12.5 Volts.
RPM is alternator, not engine.

In case your wondering, a test that was done regulating load at higher voltage would show lower max amperages

I used to do charging system tests at Sears when I was younger, we looked for voltage to be 13.3 - 15.0 volts for a good charging system...