Did my best and blocked 200 drops, but...
Cat got wet. So wet in fact, it evaporated without a trace.
Got to 7000 then had to force myself to stop. Quite possibly the best deforestation sim of all time.
Managed to build and submit with 20 seconds left.
I would suggest throwing your thumbs/index mushrooms last. It seems the throw physics gets glitchy when they aren't there.