I did some research on your issue. A lot of people are experiencing the same exact thing. To be it sounded like a GPU issue or a bad motherboard.
http/www.tomsguide.com/answers/id-1864060/msi-gt70-turn.html
If you read that, the guy at the bottom suggests taking the laptop apart and replacing the thermal paste on the GPU and the CPU. That actually sounds like a great idea to me. I hope that will fix your issue.
A lot of times computer manufactures use cheap paste. As it heats up, it crumbles and disintegrates. The computer will not boot up as a safety mechanism shutting it off to prevent damage to the parts.
If this is the first time that you have taken something like this apart, it is possible to do it right the first time. Take pictures each step that you dismantle. I would suggest also taking a piece of paper for each "layer" of laptop and draw a rough sketch of the holes that the screws came out of and tape the screw to that hole. That way you put each screw back in the proper hole. There are sometimes different sizes. I have seen a lot of techs that take computers apart for a living that have screws left over and have screws that fit in some holes, but not others. Take it one step at a time, go slow.
If you decide to do this, use good thermal paste. Use just the right amount. Depending on the size of your GPU and CPU contact points you want just enough to cover the flat surface without spilling over onto the other parts.
Lastly, look up on youtube for the instructions to dismantle your laptop to clean it and replace the CPU and GPU paste.
One last question also -- does the computer fan turn on when you press the power button, or am I to assume that the computer shuts off as soon as you press the power button (and it blinks twice?)