Replaced the power cord. Removed the service panel, unclipped the old power cord and removed the ground screw and washer. Then put the new cord's screw-on, clipped the cord in, and put the panel back on. It took less than four minutes and my 6-year-old helped.
Still waiting on the backordered ice tray; mine is cracked. It'll be a little more involved but still looks like an easy enough replacement.