What to call a wedding after a legal marriage

Hello all,
I’m unsure how to go about my wedding invitations because I’ll already be legally married.

Me and my fiancé are currently both living and working in Japan (he’s from the U.K) and are getting married so that I can bring him to the United States.
The marriage paperwork here is just that- paperwork. There is no ceremony, no vows, no I do, it’s just a signature at city hall. Then, we don’t even get to be together afterwards because it’s going to take around a year and a half after I move back to get all the paperwork processed.
I still want to have a full wedding and it’ll be the first time we actually get to be together officially and do all of our vows and everything. However, people on here tend to get upset about these things and state that you can’t call it a wedding since you’re already married.
That’s where I’m running into issues because it’s not a vow renewal, as there were never any vows to begin with, and we basically have to do it this way in order to be together.
Any ideas on what to call this type of ceremony since it’s not a vow renewal?