I seem to have similar symptoms with my two months old Librem 13 v2. Yesterday, as I opened the lid after it had slept during the day, it immediately went out. I pressed the power button, an LED lit up as if powering up, then it went dead after some 15 seconds. I think it still lit its power-LED, which was to expect as it’s power adapter was plugged in. I tried again, and the same thing happened, but after that, there was no indication that the power adapter was plugged in. This is still the state: No indication that the power adapter is plugged in, and no response whatsoever from pressing the power button.
I tried the suggestion from @jbloodwo, thus disconnecting the battery, unplugging the power adapter, holding the power button for 1 min., replugging the power adapter, and pressing the power button. I tried this several times with no result. I even left it unpowered with battery unplugged overnight, and still no response when trying to boot.
Do you guys have any further suggestions about what might be wrong, and how to detect and solve it before I must contact support? Thanks in advance!