I was able to beat this game on my second attempt, or at least I think I was. It's a bit odd that the winning message was "you died" with subtitle "You saved everyone beneath the ceaseless tolling of the clock." It makes me wonder if there's some kind of "true ending" that I missed.
Regardless, this was a neat game. The turn-based resource management makes for an interesting challenge. I felt like taking the gamble was the right strategy most of the time, although I think I lost the first four 50/50s on my first attempt.