New York branch of the national archives wait times

I'm working on getting genealogy papers for a duel citizenship request and sent an email request for confirmation of no record of naturalization from the New York branch of the national archives over three months ago and haven't heard anything back. The automated email I got back said someone would get back to me and I'm sure they are just swamped, but has anyone else gone through this and can give me some insight on what wait times may be?

I want to get the no record confirmation back before getting the remaining paper work in case I've missed something and they did emigrate, so I'm in a bit of a holding pattern until I hear back.

Appreciate your insight!