PC Crashes When I Launch Any Game! HELP

Oct 21, 2018
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Ok, everytime I start a game up my computer restarts about 10 secounds in. At first I thought it was my CPU overheating or something like that, then I ran a stress test for that and it ran perfectly fine.Then I thought that it was my GPU which is a EVGA 670 so I decided that I would run a GPU test and right when I started it at 1080p and 720p it instantly shuts down. Since it could run most games at medium - high settings I got rid of the thought. Then I wondered if it was my GPU not getting enough power. Would this be the problem? The games I have tried running, Fortnite, shuts down, BO4, shuts down, and Overwatch shuts down. Somethings that I have tried to do is completely blocking windows from restarting, uninstalling past windows updates, installing latest drivers for GPU, and overclocking GPU. I was wondering if anyone could help me with this problem! Thanks!
SPECS:
EVGA GTX 670 GPU
i5-4570 @ 3.20 GHz CPU
Stock CPU Cooler CPU COOLER
MSI H81M-P33 Military Class 4 MOTHERBOARD
8 GB Corsair Vengeance RAM
Thermaltake TR2 600W PSU

EDIT:
I have also tried fully reinstalling windows, I have also tried only using one of my two monitors (nothing changed), and I am using two different monitors.
 
Oct 21, 2018
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Alright, nothing changed when I removed the overclock on the GPU
The parts are 2 - 5 years old (getting a new pc soon will turn into siblings so will be needing a fix anyways)
I have no idea
 
Oct 21, 2018
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Alright well thanks! I am going to be testing a different PSU soon and I can let you now on that