Gesture to change Desktop DOES NOT WORK. You are depending on sending keyboard shortcuts to macos. That is wrong. I have CTRL+left/right keyboard shortcut disabled. I switch desktops by 3-finger swiping left/right on touchpad.
The mouse gestures are 100% useless to me, since you DO NOT actually make macos to "switch Desktops", instead just send a keyboard command.

Please do not lie to paying customers. The command should be "send CTRL+left" instead of "switch desktop to left".

Are you going to fix this issue? Stop relying on keyboard shortcuts.
And DO NOT say that user needs to set keyboard shortcuts for your mouse. That would be false advertising.