Hi there and welcome!
I'd bet money that the safety limit rollout switch (overheat switch) is the problem.
It is the flat round quarter sized thing located here on the inside:
View attachment 655838
To get to it you will need to cut the sheet metal on the back of your smoker to make a panel (best option) or take the back off (which I do not recommend).
These switches melt down or the crappy female spade wire connectors corrode away. MES uses the least durable connectors possible, it seems.
Open it up and should you find the connectors or the switch to be an issue you can simply remove the wires from the switch and wire-nut the wires ends together for the time being to be back up and running but WARNING the overheat safety switch is no longer in the mix.
To replace the switch get this exact switch
. There are others that look like it but are not going to work. There are 2 different designs and though you think you found a cheaper one you likely have found the design that wont work, plus these are ceramic and may not melt down as fast as the plastic back switches:
These high temp connectors will get the job done and I recommend you replace the existing connectors at the safety rollout limit switch AND the heating element with these:
Dig into the back where that switch is located (it's inside a housing) and let us know what you find.
Let us know if this makes sense and ask any questions you may have :)