Logitech G903 side buttons do not work on macOS Ventura

[PaulMest]

I'm running macOS 13.0 (Ventura) and I cannot seem to get SaneSideButtons to work. I have a Logitech G903 mouse, if that makes a difference.

I've tried the latest release via the brew cask. I've also tried manually installing 1.2.0-beta.1.

I've given all of the permissions via System Settings and I see the icon in the menu bar on top, but neither the forward nor the backward buttons seem to do anything to Chrome/Finder/etc.

Any idea what I can do to troubleshoot?