After half an hour or letting the car run, I tried to put it in gear and turn on the radio to help the alternator run. The car stopped and the lights dimmed.
Then I turned everything off and tried to start it again. The engine started, but I heard a hissing (spraying?) noise, and some sort of vapor or smoke began to come out from under the hood. So I put it back into park and called AAA again, this time for a tow.
I get the first five miles free, and the trip shouldn’t be much longer than that. So even at $3/mile, it’s not too bad.