This, like many people have said, is a grey area.
Personally, I think in the OP's case, it's okay. You own a copy of the game, and a technical issue prevents you from utilising your owned copy. No doubt, when your gaming computer is fixed you'll use the legal copy.
However, if you 'lose' your copy of a game (which has been brought up several times) then download a pirated version it becomes more lucrative. You owned the game and through your own actions came to no longer own the game. I'm still not saying that it's completely wrong, but this, for me, is where the lines start to blur.