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I guess it depends on whether the crucial mutation that flipped the organism from "non-chicken" to "chicken" happened before or after fertilization!

Or alternatively we can say that the germ line went from 49% chicken to 50% chicken to 51% chicken? Biology is really a continuous state space anyway and trying to push things into categories too hard will break them.

There is this implicit bias in your question that complexity comes from a discontinuous change which can be noticed at one moment, it’s much more diffuse and gradual. Just like we won’t know we are in World War 3 for another couple years.

Of course. Communicating that bias in a fun and relatable way is the intent of the question.

If a chicken egg is an egg laid by a chicken, the chicken came first

If a chicken egg is an egg that hatches into a chicken, the egg came first.

We know that the first case is correct because an unfertilised egg laid by a chicken is called a chicken egg despite by definition not hatching into a chicken.

Therefore the chicken came first