The phone does pop-up to full view when You mouse over it again - I don’t think this detracts from the presentation; and how many people are going to be that quick on the exit (less than a second)? But that is not your vision…
A quick “mouse out” event will always fire after the mouse click and override forward progress on the timeline. One option would be to rethink your use of the “mouse out” event (or is it even needed?).
If that is the case, perhaps some one else can offer another suggestion using just timelines.