Washer shuts off. We start it, it shuts off. We start it again, shuts back off. Sometimes it runs, sometimes it doesn't.

Check computer for engine fault codes

Unfortunately once an engine seizes due to overheating they sometimes need extensive mechanical repairs to get them to start and run again. You can try letting it cool down totally and add coolant/water to radiator before restarting. Sometimes they’ll come back to life. There’s a possibility that when it seized there was damage done to the cylinder walls and now the engine doesn’t have enough compression to actually start. Good luck.

sounds like your motor as worn bushing

Try replacin ignition coils

Check the bottom of the gas tank for dirt/debris and the float bowl for the same, if it has a fuel filter check that also. Sometimes, if there is debris in any of these places it will settle down when the gas flow is stopped. Then, depending on how the machine is being used or moved around while it is running, the debris will slowly be pulled into the gas flow until it creats a blockage and starves the motor of fuel. When the motor dies the debris settles back down in the tank/float bowl and the motor will start again. Clean out anything in the tank and float bowl and replace the fuel filter if it has one.

Replace your fill switch, it's faulty.

sometimes that takes a few starts and stops, if it doesn't clear in a couple of days unhook the battery wait 5 minutes and hook it back up

I would unplug the machine for a minute and plug it back in and try it again. Sometimes systems need to be reset.

timer bad/ easy fix

sounds like your motor is overheating or going bad. sometimes lint built up around the motor can cause it to overheat. or the motor is dying.