No power to circuit after coffeemaker plugged in for random amount of minutes
So, I finally paid an electrician to come fix this; at long last, the power had failed to the outlet and stayed off.

I had two problems:


The breaker was corroded and needed to be replaced.
One outlet on the circuit was "upstream" from the others (I'm not sure the exact terminology here, but it was closer to the breaker than the others) and had gotten corroded badly, likely due to a window leak I'd had fixed years ago.  The neutral wire running from that outlet to the "downstream" outlet that I had my coffeemaker plugged in to needed to be replaced.


The outlet that the coffeemaker was plugged in to was replaced with a GFCI outlet.  The electrician did not see any corrosion in it (naturally, as I had replaced it last year) but given that he was already here and fiddling with my wiring, it seemed prudent to have him replace it.

The cost for this job was just under $300, which was more than I was hoping for but less than I feared.