Parallel Opening Display Case Doors?

I'm in the middle of planning a display case that will have to acrylic doors that are roughly 70-75" wide and about 40" tall that I need to open parallel to the display case. So the top door will overlap the bottom door when open and vice-versa. I've found some design for mechanical lift hinges that can do something similar but I have yet to be able to find anything that would have the lift range that I need.

Here is the hinge's that I have found I would like to keep how close it keeps the door to the cabinet after it's open as I don't have a ton of space
available.

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So I've always wanting to motorize this project with an Arduino and I figured I would ask here to see if anyone had an idea on how I could go about creating something like this. I'm not the best with metal so I have little promise of being able to re-create the above hinge system.

Thanks for any help guys!

Rack and pinion?

That piston looks like an easy swap for a linear actuator.