I’m going to assume you need to use Chrome to set up the dongle because Firefox still doesn’t support Bluetooth web APIs.
Logitech G devices with the Lightspeed dongle don’t require setup (they’re all uniquely paired from the factory) and will work without the G Hub software. The software itself, if you do want it, works offline without an account.
This is assuming you don’t want to move away from Logitech entirely of course.
The painting is Friend or Foe by Robert Griffing. While he’s not native american, I can’t find anything to suggest his paintings were not made with a consideration for real history and an appreciation of the culture he’s depicting. His paintings are featured in many native american-run museums.