Flipping an Image for left-handed use of video tablet.

Winver= 2004
A video drawing tablet is attached to my NUC, along with a conventional monitor. Programmable buttons are down the left side of the tablet. I need to draw with my left, so I'd like the buttons on the right.
Using the System>Display options I can "flip" the tablet image upside down and physically rotate the tablet 180 degrees. (Green light in lower corner of pix is "top" of tablet.)
That puts the buttons on my right by inverting the image......however it also flips my main monitor image upside down. I'd like to see both screens, but any combination of duplicating or extending (Win+P) still inverts my main monitor.
I've run out of ideas on this. The images are driven from separate ports (HDMI and Thunderbolt), but since it is the same system, I don't see any way to flip one and not the other.
I guess I can abandon the buttons and use keyboard shortcuts.
Thanks for any ideas.

Thank you very much for grappling with this issue. I was unclear on your suggestion.
Should I click on the Desktop icon or Task View?
The photo actually shows two inverted screens. I physically rotated the tablet so it is "upside down" which puts the buttons under the right hand. That rotation makes the tablet look correct, but the monitor above is (correctly) flipped using the System>Display>Orientation choice.
I am trying to figure out if there is a way to "un-flip" the main monitor so I can see an image that matches the inverted tablet below.
I'm beginning to think there is no way to accomplish this. The tablet just mirrors the flipped output on the monitor.
I appreciate your help very much.