When to remove the Broody Box?

Chicken Little is almost 2 weeks old and Gussie is doing well as her mama. I am sure the other 2 hens have been laying in the broody box rather than the nest box and that Gussie is rolling the eggs out as I keep finding them on the floor of the hen house. Anyway, I know that they will continue laying in there until I remove the broody box and my concern is if I don't get to the eggs soon enough and we get breakage. The last thing I need is for my hens to get a taste for raw egg.

Advice please.