Usually I stay clear from pranay reports but this one is pretty cut and dry no vio for me. First of all, gamethrow requires intent which this clearly did not have. Second of all, this is "bad play" in the sense that it would have been considered "good play" if it had paid off. What Mittsies said is correct however all things considered, but you explained your thought process to the point where I don't think it's gamethrowing.

I'm sure you had some grand plan for saving outside of cop, but I don't see why you'd risk it considering all of the factors. It was dramatically against your wincon to save outside cop when GS was still alive. It was literally auto if you saved cop.