Geat job and fun concept ! It would be nice if you could somehow clean the broken eggs off the ground, to clean up your screen, and maybe add an upgrade or something, where someone cleans it up for you for example. You can definitely expand on the idea with some upgrades for your chicken (maybe just aesthetics to keep em comfortable visually, but could affect their spawn rates or something).
I also think that with the number of eggs spawning eventually, you need an upgrade for bigger carry capacity or at least a barrel that can catch some dropping and you have to bring to your barrel and place back down (just another idea x))
The gameloop is definitely fun and you just want to take care of your chickens haha !