Mt. Sinai in New York.
A worker who preferred to remain unnamed was kind enough to answer. The following is paraphrased, not quoted.
In the case of a dispute between mother and father as to whether a child is circumcised when there’s evident disagreement, paperwork takes precedence. Approval for the procedure requires the signature of one parent and a witness, typically a hospital staff member. Should either parent be the first to bring the paperwork to the desk to have the procedure performed, once it is witnessed by a hospital staff member, this will take precedence. In the case of an obvious disagreement (where two people are arguing before the staff member) the mother’s choice is likely to take precedence.
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There is no skin like foreskin