Good one, I have it working with a few simple changes.
One is to add an "inactive" class to the links element, along with a CSS style declaration so that the anchor links are hidden.
Two is to add another CSS declaration so that the "hide" class name successfully hides things.
That gets it looking good before you interact with it.
And three is to use scripting code to remove that "inactive" class from the links element when you click on it, so it looks good when it's playing.