How should I use my printer programs interface without adobe flash player?
Contact HP to inquire if they have an updated firmware that doesn't require Flash Player.
Adobe announced Flash Player's end-of-life in July 2017, three and a half years ago, giving content creators over 3 years to migrate their Flash content to a different technology.
For enterprises that are dependent on Flash Player, there are a couple options available to keep legacy applications alive.
Technical details can be found in the Flash Player Admin Guide, including Enterprise enablement feature: