The point is that there is nothing we can think of to do since we corrected the original error with the middle click action. Mouse and keyboard emulation does not always work the same with all programs, especially games. That is why we have 3 different types of actions for emulating the keyboard.
It is possible that the mouse click is too fast for the game to recognize it. Games read button presses a bit differently (trying to read hardware directly) from normal desktop programs which rely on receiving messages from the operating system.
Still it would be a bid odd that left and right click works for you and middle click does not work. The method we employ for a middle click is really identical to the way we send the left and right click, just passing a slightly different ID.