Hello to the creators and congratulations! The game is very well made, it's polished and has good aesthetic values. As other people mentioned, the core mechanic is a bit vague, although I sort of managed to figure out that targets with a lower score are easier to catch.
Given that, it kind of makes sense for this game to be a multiplayer game, where you shoot each other and try to become the most prestigeous, with the player with the highest score being the hardest to catch. I honestly don't find the output randomness to make sense in your game (see The Two Types of Random by Mark Brown), as it makes the precisive nature of shooting kind of meaningless.
However, my first encounter with the mechanism of shooting a guy only to have him join me gave me a nice chuckle, and I think that along with the overall great presentation it is a worthy experience to create in a 48-hour gamejam.
Good luck!