It is axiomatically prohibited. The founders would never have believed people so foolish as to need this spelled out so explicitly. Just as they didn't specify what "arms" meant in the second amendment, they didn't feel the need to point out the obvious. Transient Aliens are automatically excluded from consideration.
Even John Bingham, as many times as he discussed the issue in the debates of the 14th amendment, only one time did he feel the need to specifically clarify that the children had to be born of parents having no other allegiances. The rest of the time he just used the short-form version "born here."
This notion is so obvious, that it never occurred to previous lawmakers that subsequent generations would be so stupid as to need this spelled out for them.
You’re right. It is obvious.
Obvious to the Father of our Constitution that anyone born within our borders is a citizen. Anyone.
Keep digging, though.