The prize for a correct guess is a hearty handshake, a pat on the back, and the warm glow of victory. Do not peek below otherwise you will encounter a spoiler.
Symptoms: Every 5 minutes I hear a click (probably a relay?), 8 seconds later it clicks again. That attracted my attention. Opening it up, all the melted frost was a giveaway something is wrong. Everything is still cold, though, I caught it fast enough. So all my goodies go into the Kenmore. I guess the compressor is not coming on. Will troubleshoot tomorrow.
Positive development: Now with everything out and a wet interior, the fridge is clean and frost-free for the first time in two years.