but we can say that at some point some proto-chicken ancestor laid an egg that was different enough genetically that it counts as a chicken
This is not correct. At no point can the offspring in a single generation be differnet enough to be called a different species.
What we call "species" are just current snapshots of time. Species only make sense in a narrow timeframe. In reality things change very slowley over a large amount of time and there a no clear transition points.