Mac-like gestures for normal mouse

Sorry if I'm using the wrong category..

I'm trying to replicate the trackpad swipe-left and swipe-right gestures, to move between "screens" on mac, but with a normal mouse. Also the swipe-up for mission control etc.

I've only gotten so far, changing screens on mouse-4 and mouse-5, but pretty annoying to live without my mouse back button.

Best case mouse-4 just works as the trackpad-style, so

mouse-4 hold + move mouse left: move screen right
mouse-4 hold + move mouse right: move screen left
mouse-4 hold + move mouse up: mission control

Thanks in advance! Just any tips to achieving the mouse-moving behaviour would probably be sufficient!

You can use BTT's drawing gestures for that:

Then configure your mouse buttons to trigger the drawing recognition on mouse-down and end it on mouse-up:

Another nice option might be to show a floating menu (e.g. a cirular one) when holding the buttons: