This recent question about a person who wanted to bake a cake but only had a cooked egg left suggested me an even stupider one: is it possible to bake a cake with a cooked egg instead of a raw one? After all, the egg is going to end up cooked inside the cake anyway.
I imagine that it's going to be tricky to mix it with the dough, but with a hand mixer and a sufficient amount of violence everything is possible.
Or are the chemical processes of boiling an egg and cooking it inside the dough fundamentally different?