Here is the that works 90% of the time.
Apple dropped support for many host-based printers after macOS Catalina (10.15). The HP P1005 will not work natively on macOS Ventura or Sonoma out of the box. driver for hp p1005
This lowers system security. Re-enable it after printing. Alternatively, consider a dedicated print server (see alternatives below). Here is the that works 90% of the time
printer, you should visit the HP LaserJet P1005 Software and Driver Downloads page on the official HP Support website. Below is an essay discussing the role and necessity of the driver in modern computing. driver for hp p1005