Accidentally Paid Invoice for Ticket Twice

TL; DR: host submitted an invoice for a ticket twice and I paid both times. Should I ask host for the refund or deal with customer service?

A few months ago I got an invoice for a speeding ticket where I was caught going 10 mph over by a speed enforcement camera.

I paid immediately and didn’t think anything of it until a few days ago and I got another ticket for twice the amount. Honestly there are so many speed enforcement cameras in that city that I assumed it was probably legit and paid it immediately.

After looking back at the second ticket I paid, I realized that it is the same as the first ticket (same violation, date, same citation number, same location, etc.). In fact, it wasn’t a new ticket at all, just the same ticket, but doubled by the city as a late penalty for non-payment (the ticket noted that this was the 2nd late notification that they had sent my host).

From my understanding, it seems that the city sent the host the initial ticket (which I immediately paid) but the host kept the money and didn’t pay the ticket. When the city sent the second notice, the host forwarded me that ticket as well.

Should I reach out to the host and ask for my money back or can the host not independently refund me money; is that something that has to be done via customer support?