GNU/Linux Ubuntu 22.04 Printer HP Smart Tank 580/590 Setup – Step by step Guide
The linked tutorial shows you step-by-step How to Install HP Smart Tank 580/590 Printer on Ubuntu 22.04 Jammy GNU/Linux Desktop – Step by step Tutorial.
And the HP Smart Tank 580/590 Driver Ubuntu 22.04 Installation it’s quick and easy because it only involves running a few Basic Shell Commands.
Most noteworthy: after the Driver Installation Installation to achieve the Setup follow the included instructions to Add Printer!

GNU/Linux Ubuntu HP Smart Tank 580/590 Printer Installation Guide