I snap-decisioned and pulled into a service station and bought a new car battery, fitted it myself and got home on the new battery with no air conditioning and shock horror, no radio.
More importantly, likely no airbag as well
I doubt that the airbag has any situation where it isn't prioritised, so it would probably have been OK.
Aircond & radio are not priorities.
I had a similar thing happen just North of the Billabong Roadhouse, 248km from Carnarvon in West Oz.
One moment we were sailing along serenely, with the aircond keeping us nice & cool, the next, we were coasting to a stop.
The temperature on the road was 49C (around 120F), so we didn't want to stay stuck there for long.
Luckily, we flagged down a young couple in a Toyota Hilux, who towed us back to Billabong, where I played around under the bonnet, whilst sending my wife & daughter inside the roadhouse.
The battery was "dead as a doornail", so I decided to buy a new one, on the offchance it was what was faulty.
A charged one from Billabong started the engine okay, but, shading the dash with a towel, I could see the charge warning light was on-------Bummer!
The helpful couple suggested that, if we wanted to try for Denham in Shark Bay, they would escort us & charge our battery with jumper leads from their car, as required.
As the aircond used current for its magnetic clutch & fan, as well as the more esoteric matter of whether a greater mechanical load on the engine could cause the ignition, or Engine Control Unit to use more current, we opted to leave it off & wind all the windows down ----the old "4-80" system!
Off we went, stopping whenever the battery ran out, got a charge, & continued on.
Everything worked well, at least after I got my "hot weather mojo" back------so well, in fact that at the Denham turnoff, our helpful friends suggested we go on to Carnarvon, which we did, although the "duty cycle" of moving to stationary got somewhat worse towards the end.
That day was a Public holiday, but the next day, we organised for the local auto-electrician to pick the car up .
About four hours later, he had reconditioned our alternator & we had the car back.
Try getting service like that in the City!