There are several UCs where you’d have a solid chance - UCSC, UCR, UCM - and UCD could definitely be in play depending on intended major. Maybe more. And there are probably at least a dozen CSUs well within your reach. Or more. And, if nothing else, you do a CC for two years than transfer, or even TAG, to a UC, if that’s the goal. Every single student in California has options. You have MANY options.
That is simply untrue. Unless you define your “home state university system” as a few highly rejective UCs. And the point of this post is that there are so many great state universities, and very many are well within your reach.