Display media type (icon + type name tooltip) plus further information in the media reference field widget

Problem/Motivation

It would be super helpful when referencing media of different types in a media reference field, like header images (may have different target types at DD) or in other media referencing fields, to see details about the referenced entity.

It seems like this is already more or less possible? At least I can already see our "i" icon showing the name of the referenced entity:

Additionally it would be nice to at least show:

• The media entity type icon like in the media library
• The media type name (e.g. when hovering the icon)
• If possible all further details about the media entity like in the media library

May seem less important, but in some cases it's driving you crazy to find out, if the referenced media is a Slideshow, Slide, Image, ... and costs a lot of time, which would be solved at first glance this way.

Steps to reproduce

Proposed resolution

Remaining tasks

User interface changes

API changes

Data model changes