We'll create fresh WordPress site with Nested Shortcodes by Outerbridge installed. You have 20 minutes to test the plugin after that site we'll be deleted.
A small plugin which allows you to use nested shortcodes (i.e. a shortcode within an enclosing shortcode) by implementing a simple “do_shortcode” filter as per the WordPress Codex to content and widgets – see Shortcode_API and do_shortcode