I know that the answer is yes, I should, but outlets near the setup are not grounded (even though they look like they are) and I don’t want to have wires running though my living room.
The real question is what are potential problems ? Occasional system reboots? Permanent damage to PSU? Permanent damage to other components?
For sure, a fridge is a really bad one to be using on an actual ungrounded GFCI, exactly for the reason of risk of expired food.
I like my homeserver but if something trips and its offline for a while it’s not gonna ruin my day.