Karabiner spaces control with mouse back/forward button plus cmd

Karabiner tngranados.json

{
  "title": "Personal Karabiner configuration",
  "rules": [
    {
      "description": "When the back mouse button is clicked while cmd is held down, post a ctrl+left.",
      "manipulators": [
        {
          "type": "basic",
          "from": {
            "pointing_button": "button4",
            "modifiers": {
              "mandatory": [
                "left_gui"
              ]
            }
          },
          "to": [
            {
              "key_code": "left_arrow",
              "modifiers": [
                "left_control"
              ]
            }
          ]
        }
      ]
    },
    {
      "description": "When the forward mouse button is clicked while cmd is held down, post a ctrl+right.",
      "manipulators": [
        {
          "type": "basic",
          "from": {
            "pointing_button": "button5",
            "modifiers": {
              "mandatory": [
                "left_gui"
              ]
            }
          },
          "to": [
            {
              "key_code": "right_arrow",
              "modifiers": [
                "left_control"
              ]
            }
          ]
        }
      ]
    },
    {
      "description": "Mouse back button to system's back action.",
      "manipulators": [
        {
          "type": "basic",
          "from": {
            "pointing_button": "button4"
          },
          "to": [
            {
              "key_code": "open_bracket",
              "modifiers": [
                "left_gui"
              ]
            }
          ]
        }
      ]
    },
    {
      "description": "Mouse forward button to system's forward action.",
      "manipulators": [
        {
          "type": "basic",
          "from": {
            "pointing_button": "button5"
          },
          "to": [
            {
              "key_code": "close_bracket",
              "modifiers": [
                "left_gui"
              ]
            }
          ]
        }
      ]
    }
  ]
}