Charged twice for the same infraction

NYC/NY State

Just attended the hearing, almost a year after the fact. I ran a red light. The judge initially said it would be $20 fine for running a red light, as a camera issued ticket for the same infraction was already paid ($51 a long time ago).

Then she realized the minimum was $150 + the $88 court fee and set it to that.

Should I appeal? This just doesn't feel fair, as I am essentially getting charged twice. I've showed up months ago to realize they rescheduled without telling me, and then waited almost 2 hours today from my scheduled time. Feeling a bit screwed.