Media browser

[zsarnett]

Proposed change

Type of change

• New feature (thank you!)

Example configuration

<ha-media-player-browse
  .hass=${this.hass}
  entityId="media_player.plex_plex_web_chrome"
  action="pick"
  @media-picked=${(ev) => console.log(ev.detail)}
></ha-media-player-browse>

Additional information

• This PR is related to backend PR: Websocket media browsing for Plex core#35590
• Link to documentation pull request: TODO

Checklist

• Add this to a dialog somewhere
• Documentation added/updated for [www.home-assistant.io][docs-repository]

[bramkragten]

So we don't actually have a place where we use this right now? Let's add it to the media player card to start with if the media player supports it.

[bramkragten]

We should add titles here too in a future PR