Open media source with button for Plex/Jellyfin playback

I would like to open the dialog to select media with a button.
Is there a service that I can use for this as tap_action?
I want the Same Popup as I get after pressing the yellow marked Button. But I want it with my own Button (Dashboard Card type: button.

So I want to have a button to select my movies from Plex/Jellyfin.