This is a very interesting and unique game! I do like it quite a lot. I think you've nailed what I think would be a great multitasking game, where you need to do a bit of everything at the same time via different simple minigames. The game is indeed very chaotic and it cost me around 5 to 6 runs before I finally got a win. The settings of this game are quite unique as well. I think I haven't seen beaver build dams in a video game since I played Pokemon Arceus, let alone a game designed around that. Nice!
For some criticism, I'd say the upgrades are a bit unbalanced, where it's crucial that you picked "increase drain rate" as the first upgrade no matter what. It feels like it's almost an automatic lose if you do not do so, and it's basically a win if you do that. It might also be caused by the fact that the unupgraded draining speed is so low to the point of not even draining when past the point of around a quarter full. This also has an interesting side effect of being stuck in the tutorial where you can't progress if the water is not and will not be drained. I think the best way to deal with that is to make the filling speed constant rather than scaling with the water level. There is also a strange phenomenon that during the late game, it's not possible to fix the dam no matter when you press the correct key, but luckily for me, the upgraded draining speed is so high that even a severely leaking dam can be drained without any issue.
Anyway, this is quite a unique entry, and I think you do deserve some praise for it. Well done!