Actually the founders SPECIFICALLY stated so ... in the Constitution itself. It’s called the supremacy clause and can be found in Article VI, clause 2.
Further, it specifically ALLOWED those who were born as citizens of other nations to be considered for office and to become citizens of the US as an exception to the NBC clause.
Citizens may run for any office.
Only those who are born here of citizen parents and are solely Americans are natural born citizens eligible to be President.