Slider with image tab navigation based on custom post type

Hi all,
I have to create a slider with side navigation like the one you see on Rubie’s Costume Company website:
Basically every slide has a background image, a button with link and a logo used to create the vertical side tab navigation.
The slides should be based on a custom post type.

I know how to create the custom post type and there are a lot of slider plugins, but I couldn’t manage to find a solution for this kind of navigation.

Any ideas, suggestions or plugins that could help?

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