No the chances are very good you would get your money back. And it would be very bad if Citi did not get their money back - there is no advantage to a payment system that cannot undue obvious errors of this magnitude.
As someone that has inadvertently paid a BOA credit card bill in full when I meant to transfer money to a different account.... You ain’t getting shit back.
But did the bank follow your direction in making the payment, or did they not follow your direction in making the payment. that makes all of the difference.