Looking for feedback

So, using the fly-in animation will always bring in the object from off the edge of the screen to the final position. It won't reverse and take it back out the way it came. To do what you want, you would need to change from animations to motion paths, which would allow you to move in and out from exactly where you want. It would require in and out paths for each movable layer. Based on your design, I would suggest placing a background-colored mask to the right of your sliding panels, below your 'Iris' buttons. You can then move panels left and right below that, allowing them to extend off of the edge of the slide. These are then moved back and forth with motion paths. I would create each tab, panel, and the panel contents, and then group all of that as a single unit for movement. One group for each panel unit.

The hardest part is moving the right combination of panels at the right times. You will need several groups of triggers.

I made a basic mock-up of this idea for you to look at. It gives you an idea of how your design could be modified (or rebuilt from scratch, as that maybe easier).

Demo: https://360.articulate.com/review/content/0402e37b-32aa-4952-acab-198f278c6d38/review

Another important note: I used a true/false varable to track the left or right positioning of each panel, indicating which panels needed to be moved on a click. The order of these adjust variable triggers is very important. Follow the order I've given.