Is Barron Trump not a US citizen under Donald's immigration plan? Claim viral on social media

Donald Trump's plan to end birthright citizenship will only affect children born to parents who are in the US illegally. If either of the parents is a green card holder, the child automatically becomes a US citizen. Fake claims are doing the rounds that Barron Trump is not a US citizen because Melania was not a US citizen when Barron was born. Melania was not an illegal immigrant and Donald Trump was a legal resident when Barron was born.