Welcome @David WSGG.
I can't see anything wrong with your coin, so I would say is genuine.
Die numbers are a bit of enigma. The lists that have been generated are not from the RM and merely represent those that have been identified by various collectors. As has been discussed on here before, the lists are not expected to be exhaustive, new ones are occasionally being found. There are not many ardent collectors or collators of die numbers, so a new discovery does not create as much excitement as a new variety of, say, a penny.
I believe the list you have referred to is this: https://www.coins-of-the-uk.co.uk/dieno.html which does indeed miss out the 32 for 1873. Tony Clayton, who runs this page, would probably be the most interested in your discovery, but I can't seem to find an email address for him on his pages. Maybe someone else on here knows it?
Ah - just found an email: tony@tonyclayton.org.uk