Email support@mugshotlook.com and copy support@privatereports.com. That second address matters more than it looks. It's the contact the operator filed with California as a registered data broker, so a request sent there lands on the channel the company itself nominated for exactly this.
Say who you are, give the state your listing shows, and describe the record plainly enough that somebody can find it. Ask for deletion rather than suppression, keep the sent copy, and note the date. If nothing has moved in thirty days, reply on the same thread rather than starting fresh, because an unanswered chain is worth more later than four separate emails.
California residents have more leverage here than the wording of the form suggests. A registered data broker that fails to provide a working deletion route is answerable for that, and the registration contact is where you say so.