Can I/Should I enroll in my employer's health insurance if I am insured under my estranged father's employer's health insurance (CA)

I (22F) went no-contact with my parents several months ago. I am currently under my estranged father's employer's health insurance (serviced by Kaiser Permanente) and I was wondering if I would be able to enroll in my employer's health insurance (also serviced by Kaiser Permanente). I obviously cannot contact him to remove me from his insurance. As riding it out until I'm 26 is a few more years away, I am confused on what I am able to do in this situation. What problems would i run into, particularly if our providers are the same? Should I just not enroll in my employer's health insurance and pray I'm not removed from my father's? Really appreciate any insight you guys may have.