mouse to change spaces

{
                        "description": "better external mouse",
                        "manipulators": [
                            {
                                "from": {
                                    "pointing_button": "button3",
                                    "modifiers": {
                                        "optional": [
                                            "any"
                                        ]
                                    }
                                },
                                "parameters": {
                                    "basic.to_if_alone_timeout_milliseconds": 200,
                                    "basic.to_if_held_down_threshold_milliseconds": 200
                                },
                                "to_if_alone": [
                                    {
                                        "pointing_button": "button3"
                                    }
                                ],
                                "to_if_held_down": [
                                    {
                                        "set_variable": {
                                            "name": "pwr_b3",
                                            "value": 1
                                        }
                                    }
                                ],
                                "to_after_key_up": [
                                    {
                                        "set_variable": {
                                            "name": "pwr_b3",
                                            "value": 0
                                        }
                                    }
                                ],
                                "type": "basic"
                            },
                            {
                                "conditions": [
                                    {
                                        "name": "pwr_b3",
                                        "type": "variable_if",
                                        "value": 1
                                    }
                                ],
                                "from": {
                                    "modifiers": {
                                        "optional": [
                                            "caps_lock"
                                        ]
                                    },
                                    "pointing_button": "button4"
                                },
                                "to": [
                                    {
                                        "key_code": "left_arrow",
                                        "modifiers": [
                                            "left_control"
                                        ]
                                    }
                                ],
                                "type": "basic"
                            },
                            {
                                "conditions": [
                                    {
                                        "name": "pwr_b3",
                                        "type": "variable_if",
                                        "value": 1
                                    }
                                ],
                                "from": {
                                    "pointing_button": "button5",
                                    "modifiers": {
                                        "optional": [
                                            "caps_lock"
                                        ]
                                    }
                                },
                                "to": [
                                    {
                                        "key_code": "right_arrow",
                                        "modifiers": [
                                            "left_control"
                                        ]
                                    }
                                ],
                                "type": "basic"
                            },
                            {
                                "conditions": [
                                    {
                                        "name": "pwr_b3",
                                        "type": "variable_if",
                                        "value": 1
                                    }
                                ],
                                "from": {
                                    "pointing_button": "button2",
                                    "modifiers": {
                                        "optional": [
                                            "caps_lock"
                                        ]
                                    }
                                },
                                "to": [
                                    {
                                        "apple_vendor_keyboard_key_code": "mission_control"
                                    }
                                ],
                                "type": "basic"
                            }
                        ]
                    },