Engine dies, but turn the key off and back on it fires right back up

So I spent a couple hours under the hood and used a 1/4 tank of gas trying to find the issue. Found nothing loose or shorting out. Searched the key, resistor, coil, distributor, battery, grounds, ecu. Nothing, not even a miss or sputter. I am going to buy a lx101 to replace the blue summit box. And see what happens...

Thanks for everyone’s help.