The card should boot fine after fully discharging, but it won't?I guess it's possible. Using your suggestion about vram overheating, I searched for Black Desert causing those sorts of issues and apparently it's a thing, and has been for a while. The game has been causing cards to overheat for years. I guess the question at this point is, if that's what happened, is the card screwed?
Could be something smoked in there.
Definitely RMA time if it won't start back up.