Libraries dependencies for media_library

Please open a merge request.

What's the issue exactly though?

If a UI issue the summary should be updated to include before/after screenshots, also proposed solution.

Otherwise the variables in the css like '--vertical-tabs-menu-width' are not defined.

The variable --vertical-tabs-menu-width is defined in the variable.pcss.css file, and it is available globally. So there's no need to add the dependency of claro/vertical-tabs

To clarify, are there scenarios where the vertical-tabs-menu-width variable isn't available globally in other themes, or is this issue limited to Claro? It might be helpful to confirm if adding the dependency solves similar cases across custom themes or if this fix should be strictly scoped to the Claro theme.