Really charming and fun game!!
I'd like to share some fun discoveries I made while seeing how far I could push it.
This was the build I beat round 24 with, after 24 more rounds of passive scaling (except buying pears for the goat). This dealt with enemies pretty well, they always died at or before halfway through, but eventually I got bored and tried something else:
Now we're talking. The goats all have the sacrifice bonus from cute. So at the beginning of every shop phase, each executioner sacrifices the goat next to them, giving a random tower +200% of the goat's attack. This happens 3 times per goat, with 4 goats. Now we just sit back and wait for the game to break.
First negative numbers show up after about 10 waves. I assume the damage is a 32 bit integer, since the highest numbers I saw were around 3 billion, so they overflowed when they got bigger than 2^32, or 4.3 billion. After this point, the numbers kept going up to 1-3 billion, then down to negative 200-600 million before quickly climbing back.
Interestingly, even if all of the goats had negative damage, a couple of them went back to positive the next round. If someone knows why that is, I would be interested to know.