To my knowledge, if the appointment is required. I suggest checking. Apostilles are obtained at another office of the US government. Take into account that if the power of attorney is to be used in Mexico, that of the consulate does not require an apostille, but if it is from a US notary, then it does require an apostille.
No, go directly to the consulate and request it. The sooner the better, because it will take time for it to be delivered to you.
I can't give you a specific answer but to be sure, better call thanks.
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