If you go to a CC as a non resident, without a gap, and pay non-resident tuition, you may be forfeiting your residency status at the receiving UC. It depends on how the university defines it. (By the way UCLA is not that transfer friendly.)
Point being: that the state wants you helping with your instate fees by working and paying taxes on a full time basis. Look at the residency definitions. San Diego assumed that you were going to attend their site and were interpreting the residency according to your family paying full tuition. Now you’re planning to attend a CC. The UC you apply to will automatically note the OOS high school, the CC full fees and may still charge you full fees if you were not working. It depends on how residency is determined by their staff.