Hey There, I am Sofia Carter. Deskjet printheads are included in the ink cartridge, I would rule out the printhead statement. HP Printer not printing black. A Replacement printhead is included in the HP61 cart (black). A printed circuit on the back of the cartridge connects to the printer's cartridge socket. Make sure the area is free of tape and other obstructions. For a properly guided troubleshooting method please visit 123.hp.com.
https://www.hpprintersupportpro.com/blog/how-to-fix-hp-printer-wont-print-black-issue/