Karabiner mouse overrides!

karabiner-mouse-3-4-5.json

{
    "description": "Maps button 5 to left desktop switch, 4 to right desktop switch, 3 to mission control",
    "manipulators": [
        {
            "from": {
                "pointing_button": "button5"
            },
            "to": [
                {
                    "key_code": "left_arrow",
                    "modifiers": "left_control"
                }
            ],
            "type": "basic"
        },
        {
            "from": {
                "pointing_button": "button4"
            },
            "to": [
                {
                    "key_code": "right_arrow",
                    "modifiers": "left_control"
                }
            ],
            "type": "basic"
        },
        {
            "from": {
                "pointing_button": "button3"
            },
            "to": [
                {
                    "key_code": "up_arrow",
                    "modifiers": "left_control",
                    "repeat": false
                }
            ],
            "type": "basic"
        }
    ]
}