I'd typed exactly what I'd meant to.
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We have three branches of federal government.
Acknowledged, but irrelevant. The authority is either there, or it is not.
In that case, after I indicated that I didn't understand what you meant, you decline to explain. So let's go back to your question, that you typed exactly as you meant it:
Please show me the authority enumerated in the Constitution that gives the federal government the ability to define the term 'natural born citizen'.Article I, Section 7. And Article III, Section 2.