A zoom on Gutenprint:
Linux Mint 20.x includes Gutenprint 5.3.3-4, Linux Mint 21.x includes Gutenprint 5.3.3-9 while Linux Mint 22.x includes Gutemprint 5.3.4.
At the moment of writing this tutorial, the latest stable Gutenprint version is 5.3.4 (and 5.3.5 is available as a pre-release).
What follows explain how to install Gutenprint 5.3.4 and how to update it with the latest available Solomon Peachy's backends for dye sublimation photo printers.
The list of Gutenprint 5.3.3 supported printers is available online when writing this tutorial:
https://gimp-print.sourceforge.net/p_Supported_Printers.php.
The changes from Gutenprint 5.3.3 (added printers, bugfixes etc.) to 5.3.4 is found in the "NEWS" file,
https://sourceforge.net/projects/gimp-print/files/gutenprint-5.3/5.3.4/NEWS/download.