It shut down



Could still be the power supply, although with the info you got a new one recently it's less likely. Maybe RAM or CPU, but that tends to get further in the boot process and will beep at you instead of just starting and shutting down.
 


I would not say that motherboards are not reliable, depends on the brand and model. I have worked on old P4 systems that have run for 10 years and also some dual core systems that barely lasted 3 due to motherboard issues.

The only thing is that it "may" be the motherboard, but there is really no way to find out without replacing it. So you're a bit stuck there unless you have a spare around. Will need to spend money to find the issue.
 

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