Hiya, You'd probably be better off asking this sort of question in the Games for Windows LIVE Support forum found here.
I do know that when you re-install Games for Windows LIVE games you are required to enter in the product code that came with the game.
Once you do that, you'd need to enter in the e-mail and password you used to redeem the product code.
I don't believe there's any way around entering in the product code when you first install the game again.
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