@dubst3pp4 hplib and it's done ? PPD file are also provided if you want to go "manual" ^^' archlinux, as always, has good "Linux generic" documentation https://wiki.archlinux.org/title/CUPS/Printer-specific_problems#HPLIP :)
@df5t0rw unfortunately not. Installing hplip was not a pleasure but a lot of manual work. Now the HP GUI detects the printer, but as soon as it was added, it immediately disappears from the list. Never had such trouble with a printer like this one...