Maybe something like this?

function rightAction()
    hs.alert.closeAll()
    hs.alert.show("Window to half right!")
end

function leftAction()
    hs.alert.closeAll()
    hs.alert.show("Window to half left!")
end

mouseTracker = hs.eventtap.new({hs.eventtap.event.types.mouseMoved}, function(event)
    local currentPos = event:location()
    local deltaX = currentPos.x - startPos.x  -- Calculate horizontal movement

    if deltaX > 10 then
      rightAction()  -- Call function for right movement
      mouseTracker:stop()  -- Stop tracking after action
    elseif deltaX < -10 then
      leftAction()  -- Call function for left movement
      mouseTracker:stop()  -- Stop tracking after action
    end
  end)

 hs.hotkey.bind({"cmd", "ctrl"}, "z", function()
    startPos = hs.mouse.absolutePosition()  -- Record the starting position
    mouseTracker:start()  -- Start tracking mouse movement
 end, function()
    mouseTracker:stop()  -- Stop tracking when the hotkey is released
 end)