anchor babies are a DIFFERNT legal phenomenon.
in 1996 congress pass a law eliminating the anchor baby. IOW custody goes with the parents not parents in custody of the child. So, deported illegal parents took their us citizen child who THEN could return at 18 and THEN they had to stay in the USA for 10 years before any children of theirs born outside the USA would be automatic citizens.
under the law there are only two types of citizens. those who are naturalized and those who are born in the USA (or of at least one US citizen parent). That is it.
Do not confuse the anchor baby with native born.
If the law does not recognize three, then it is obtuse. Prior to 1922, it was not possible to have an American citizen born to parents of different nationalities. After the Cable act, it was.
Native born Dual citizens came into existence in 1922, and no, they aren't "natural born citizens" .