My question involves a traffic ticket from the state of: California

Hi - I live in Illinois, but two months ago, I was in California in a rental car. I got a ticket in the mail today saying I had run a red light. There were two days left on the video view so I went to take a look. What happened was that I was in the left turn lane, but realized that I wasn't supposed to be turning left there and changed lanes back to the center lane just as the Left arrow turned red - but the main intersection light was Green.

I got a $238 ticket in the mail for this from an automated camera. Citation is 22101D 29

I do get back to California from time to time, so my question is, is it worth fighting this? It feels like I was fine in what I did, I did not initiate a Left turn, I did not "run" the left hand turn light. I believe the citation is for running a red light, not changing lanes illegally in an intersection.

ANy help would be appreciated.

thanks
Tammy