How to blink next button of storyline player when the timeline end of the slide.

Part of the problem is this trigger:

A layer can't show itself, which is why you must use two layers.

The rest of the problem is here:

The timeline on the base ends after 1 second, at which time the trigger fires. Since not all of those states can possibly be visited, the blink layer is not shown. The timeline ends only one time, so unless you visit all layers within one second, the blink never happens.

The solution is to copy this trigger to each layer. The biggest problem is that you can never know for sure how long it will take the learner to read each layer. If it takes too long for the Continue to become active and blink, they will be unhappy. If it happens too soon, you run the risk of someone leaving without reading all of the last layer. So you have to make a decision, and set the layer timelines about that long. Personally, five to ten seconds seems good.