Yep, it was indeed a seized-up brake caliper.
The local autoparts store had a remanufactured one in stock.
I zipped over there on the electric motorcycle (now featuring cargo boxes!), had a good conversation in the parking lot with a chopper builder who actually saw me and then followed me to my next stop, and bought the new caliper.
Now I just have to install the thing, bleed the brakes, and my car is back on the road!!!!
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