You aren't going to break one from eating eggs. Eggs are one of the most nutrient dense foods on earth. Once they get a taste for them, stretch their necks and cook them.
I'm all about that, but got the kids that think they are pets. Biggest problem is, the culprit is also the favorite. I'm gonna keep supplementing best I can. The wife checks the boxes every few hours. If we can get a few eggs from her, and she doesn't start eating the other eggs, I guess we'll deal with it for now.