Got the air conditioner fixed. It was the capacitor, as I suspected. Seems like this happens every couple of years. Fortunately, the repairman doesn't have to come into my dirty house to swap out the capacitor. It's in the part of the AC unit that's outside. It doesn't cost much, either, thank God. It will probably be around $70, if I recall correctly. The dogs and cats are happy. Especially the dogs, who don't weather well in the extreme heat.
Didn't sleep well last night. Probably because of the heat. I did have a fan aimed right at me all night, but it's not the same as AC. The fan can't get rid of humidity like the AC does.
Doctor's appointment tomorrow.