Answer
Much happiness to both of you! Having a second wedding in New York state should not be a problem for you.
From Getting Married in New York:
"If a couple is already legally married to one another, and they want to have a second wedding ceremony, and if an officiant requires a marriage license, the couple may apply for a second or subsequent license from the Town or City where they were married. "
However, to make sure that your secret first marriage remains a secret, we recommend talking this over with the officiant who will be performing your wedding ceremony.
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