Great video, Good info, Thanks
... According to a variety of folk on the internet ... Try a reset. "Press and hold the Units, Light and Info button simultaneously for some seconds until the battery reboots"
This may turn off the current hungry ac inverter which appears to be trying to turn on during start-up.
... Maybe (once you get it running of course), it would be a good idea to check in settings to see if unit is set to automatically turn ac output "on" when charging power is connected?
... Suspect software isn't disabling AC Inverter prior to attempted restart hence power-brick is cutting out under load. (Most power-stations should disable AC - output when battery flat)
Maybe connect a power source with higher current capacity if you're feeling brave?
... It might sound odd but I suspect you will have un-balanced cells and the fail-safe BMS attached directly to the battery has tripped before the main-board battery diagnostics has triggered a normal shut-down. I have seen similar several times.
... I seem to see a lot of BMS's (in domestic and, sadly, professional gear), that mysteriously allow cells to get out of balance when the battery pack is a few years old, can't imagine why a manufacturer would want that to happen...!
... Many power stations can take firmware updates to solve problems ... but often these require loading dubious / invasive apps... Not my cup-of-tea!