Good point! That adds a lot of nuance. With several eggs, if you drop one egg and it doesn't break, you have the option of postponing the pick-up until later or leaving it on the ground altogether. Let me think about it.
I had a quick go at it using memoized minimax search. I assumed that picking up any dropped eggs is automatic when you're on the ground floor, but it would also be easy to model it as an action.
