The amazing thing about imagination is it doesn't need to be consistent or based in reality. People can typically imagine such things.

For example, I can imagine an elephant disguised as a normal sized human in a trench coat, because within my imagination, hammerspace can exist.

As such, I can imagine an egg that has every single property of a chicken egg; look, flavour, size, smell, colour, etc, such that it was absolutely indistinguishable from a chicken egg until it miraculously hatched an alligator. I extremely strongly suspect that the overwhelming majority of people would have understood what was meant by the thought experiment.

And literally you're just asserting you're correct by fiat. The people on the other side make the exact same argument about their side. You seem to be missing that this entire dilemma hinges on the fact that there is no specific definition for "chicken egg", so to claim you're correct by definition is baseless afaict.

The best argument I've seen so far is that the entire dilemma doesn't even make sense since the chicken is the egg; it's the same animal just in different phases of its life, therefore one cannot come before the other; it'd be like saying "which came first, the chicken or the other chicken?". But that comes dangerously close to the question of when life begins, so gonna try to avoid that.