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So it sounds like your thermal fuse (thermostat) has likely failed from the oven overheating due to the broiler burning something. You'll need to pull the oven out and make sure you're getting 220 volts to the oven and not just 110 volts to start. if that checks good, unplug the oven and remove all the screws going into the back sheet metal panel. Remove the back sheet metal panel and look for a small quarter sided device with 2 wires going to it. That is your thermal fuse. Test continuity through it and if it doesn't have continuity you need to replace it. Attached below is a diagram and part 16-1 is the thermal fuse you're checking.
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OK then what do you mean by "not working?
If the fuse is good then you need to make sure the unit is getting 220 volts. if so, then you have a shorted control board. Nothing else would cut out the display.
You're missing something then because there is nothing left but the control board, fuse, and power to the oven.