Celica Forums General Discussion Engine and Performance 2002 GTS Car has spark, but will not start

Hello Everyone, I have a 2002 Celica GTS,240,000 miles, Automatic, that is completely stock.
A week ago, September 25,2020, I was driving my Celica and all of a sudden the car started bucking, lost power and shut off, and I had to have it towed home so that I could attempt to diagnose the problem.

The car has a Good Battery, and I replaced the Alternator, Air Filter, Thermostat, Antifreeze, and Serpentine Belt about 200 mils ago.

Once I got the car towed home, I tried to start the car, and it started right up, so I backed into my garage. However, I thought that perhaps the fuel pump might be starting to fail, so I decided to replaced it.

Things I have tried so far.
I charged the Battery Over Night.
I Replaced the Fuel Pump
I Replaced the Fuel Screen
I Replaced the Fuel Filter
I Replaced the Fuel Pump Regulator, that attaches to the top of the Fuel Pump Filter.

After replacing the above items, the car started right up, so I let it ideal in the garage. The car was idling smoothly while I cleaned up, and put my tolls away.
Unfortunately after about 20 minutes the car shut off and will no longer start.

If I spray starter fluid in the air intake, the car will start up and run for a couple of seconds. Therefore I do not believe the the problem is will the fuel injectors, battery, or alternator.
At this point I am at a loss, and could really use some help in figuring out this problem.

Thanks in advance
RodgerK85

Update, after letting the car sit over night I tried to start the car, and it started right up. I let the car ideal, and again after 20 minutes, it shut off and will not start. Any ideas as to why it stalling and will not start again after idling for 20 minutes?
Thanks
RodgerK85