Welcome! Sorry you had to find us.
So often when kids outgrow it's more around the age of 5. But with egg and dairy it can be earlier (can be earlier with peanut, too, but not as often).
Has she reacted to peanut? Skin Prick Tests have a high false positive test, so I'm glad you also got bloodwork done. Even that can be wrong--reaction history is the true guide (I am NOT suggesting you give her peanuts--just saying that testing can have incorrect results).
Pine nuts are from a different family than peanuts. My son is not allergic to them according to blood tests (and skin tests). However, he has yet to have them, because getting them from a peanut free facility is difficult. Most pine nuts come from China and Russia. Our family doesn't eat food that doesn't come from the US or Canada--with a few trusty exceptions. There are some American pinenut manufacturers, but it's very seasonal. My son is in high school and loves pesto made without pine nuts.
Sesame is very tricky with regard to eating out--and so is egg.
I'm glad you found our community! I hope we're a helpful and supportive place.