Faulty wall outlet? Loose/defective power cable?
I would not be so certain about "not overheating". The CPU itself can get very hot, very quickly even before you can sense the heat.
What temperatures are you seeing?
Any signs of thermal paste oozing about the CPU?
All fans running. Interior clean of dust, debris, dried bugs? No stray cables or connectors dangling about?
Double check the power supply connections. They can feel as if they are in and tight but sometimes with new plugs that may not be the case.