You were mistaken. If you are born as a U.S. citizen, you are eligible to be elected President once you are 35 years old and have spent 14 years living in the U.S.
In Ark v United States, the Supreme Court states that the U.S. Constitution recognizes two, and only two (<— The words in the decision) forms of citizenship: citizenship by naturalization and citizenship by birth.
There is no magic third form of citizenship. Who says? The Supreme Court.