Quite correct, by definition.
But, alas, it appears today we have too few politicians made of the same stuff as the founders. Thus, future traitors will more easily believe it possible.
The founders tried to prevent all of this by excluding the children of foreign nationals with the natural born citizen clause.
By definition those born with multiple nationalities are NOT NATURALLY Americans.
We left the Constitution behind on Usurpation Day.
What is going on now is the struggle to restore it and the rule of law.
Yet we still have people even here on FR arguing that children born to one American parent in a foreign country are eligible to be President.
Anwar Al-Awlaki’s kids born in Yemen are just as eligible to be President as Ted Cruz.