The problem can be a few things here.
The 650M card of the laptop may be a add in card where it connects to a mini pci-e card interface of the laptop.
If the laptop is a few years old.
Then it may be a case of just opening up a flap on the underside of the laptop.
You will see the card with a clamp on it, and a flat copper heat pipe running off it where on the end to the edge of the laptop case you will see aluminium cooling fins. You may have to remove the laptops cooling fan to get to the cooling fins first.
Check the cooling fins for any dust blocking the fins and brush it out using a clean small paint brush.
If found to be clogged.
Then re fit the laptops cooling fan.
Then test the laptop again with a game to see if the screen artifacts have gone.
Or when inspecting the laptop when open, you may have to remove the cooling solution on the Mini Pci-e graphics card, clean off the old thermal paste on the gpu die and cooling contact plate of the cooler pad.
And apply some fresh thermal compound, them clamp the cooling solution back to the Gpu of the mini pci-e graphics card in the laptop.
For most of the time if the laptop is a few years old, it is down to dust clogging the cooling fins of the graphics card cooler.
And will take about five minuets to clear and brush away.
Allowing the Gpu on the graphics card to run cooler, and not produce graphical artifacts when playing games on the laptop.