In the short term I would just use the LUX options of rideshare if you must use LAX. LAX will eventually figure this out and it will be better, I hope.
Saying that I changed my next 8 flights to BUR because of this issue. If your 12 miles away is closer to BUR another option might be just using BUR for the next few months until this gets sorted.
Cheers, I did lots of traveling with kids. Its hard but worth it.