This printer will simply refuse to print without an always-on connection to their cloud, it's diabolical. Thought I might be able to get root via its crappy web interface but no luck, and it seems to use properly implemented TLS when talking with the verification server, so I've taken it apart to poke at some interesting looking points on the PCB.
With my brother printers it turned out I could just remove the chips from the genuine toner cartridges, reset the counters, and hot glue them to the refurbished toner. Maybe that works for HP ink as well?