Sage Reprogramming a stylus to page turn on button clicks

Hello! I have a Kobo Sage and want to turn the page with a stylus button click.

I know that some Surface stylus pens work with the Sage (e.g. https://www.amazon.com/RENAISSER-Sen...st_sto_dp&th=1) so I wondered if the following is possible: reprogramming the Surface stylus erase/right-click button to instead tell the Sage to turn the page right/left (or vice-versa)

I figure these questions would need to be answered:
1. What command does a page turn from the physical button / screen touch emit to the Kobo?
2. Can I get those commands mapped to the stylus buttons?

I'm a career programmer but have never developed on an ereader and I've never even owned a stylus. If there's no known solution, I'd be happy to brainstorm ideas with others so I can come to a solution myself, if one is possible.

If anyone's interested, this is why I want this functionality on the stylus:
I want to be able hold my Kobo with my left hand, and my right hand holds the stylus which turns the page. The physical buttons placement makes my thumbs cramp. And I much prefer physical buttons over touching the screen (fingerprints / needing my move my lazy hand even an inch).

I would solve the cramping issue if I had the device in landscape, but I primarily read manga so thats not a good option for me.

Yes, I realize how ridiculously lazy this idea is. But I'm a lazy guy.

Thanks for reading!