It bears dwelling on the fact that the American Revolution could not take place until enough native-born males had reached fighting age.
The founders recognized there could be no natural born citizens for 35 years after the founding, that’s why the exemption for themselves after the first comma.
No Person except a natural born Citizen, or a Citizen of the United States at the time of the Adoption of this Constitution, shall be eligible to the Office of President; neither shall any person be eligible to that Office who shall not have attained to the Age of thirty five Years, and been fourteen Years a Resident within the United States.