Is it permissible for a pilgrim in a state of ihram to eat eggs and cheese and drink milk, or are these things considered forbidden land game?

Eggs, milk, and cheese are not among the land game forbidden to a pilgrim in the state of ihram (definition). The forbidden game is that which is wild, edible, and from land animals. As for ostrich eggs, it is forbidden for a pilgrim in ihram to eat or break them, while there is no harm in eating the eggs of non-wild animals, such as chickens.