This is why its important to see the evidence. This statement is only true if his father is who he says he is.
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Kinda, see the bottom of my comment here.
Even IF Sr. is listed (could have been fraudulently listed) on whatever kind of original he has there, was his fathers marriage to his mother a legal one? If not, then the 1948 BNA would not apply to Barry.
And if that is the case, he can be impeached for fraud
Maybe even do the perp walk!