what did your wyze hookup look like?
Also, you don’t need the C adapter, your thermostat has a C wire in it.
use the wire labels that are under the wires in that picture not the ones on the bottom of the thermostat. It looks like you have a gas furnace and an air conditioner, not a heat pump
How long did it take to do the firmware update? Mine took about 5 minutes, during which time I ignored it completely. If you cut the power to it while it was trying to update the firmware, it might be stuck in a boot loop.
You might be able to fix it by holding down the thermostat button for 15 seconds and forcing a reset.
You will need to delete and re-add it if you do this.
With your multimeter in volts AC and they wyze removed from its socket, check between Rc and C for between 24 and 30 volts. If there’s no voltage there, it’s possible something blew the 5 amp automotive style fuse on your controller board - usually this is caused by misaligning the pins when plugging a thermostat in and accidentally shorting something, but it can also be caused by a loose wire touching something it shouldn’t.