I did manage to win eventually, but I can't feel too good about shooting a dog to do it. :(
I found out about the heart power naturally by just clicking around, but the other one I would have missed if not for the hint on the game page. (And if there are more than those two, I didn't find them.)
This is a really neat and unique idea (if we were all as inventive as you are, maybe Stan wouldn't have fractured reality while doing his job!) Some of the transitions are especially fun, like randomly turning into soup. Can soup win a round? I saw dogs win rounds so I hope that soup can win too.
It's not always clear whether a Stan is still in the running or 'out' of the round. It's obvious that a standing Stan is in a better position than a lying down Stan, but those lying or sitting Stans can get up at any time. And being a dog is fine! Unless it's a sleeping or "sleeping" dog. So a bit more clarity on what counts as a good or bad state would be nice. I was mashing the heart icon every time I had it, until I confirmed it only activates on my Stan being truly dead.
