FireTV Actions

If you use FireTV you could create a script, which includes the playlist. Check out the official doc: https://www.home-assistant.io/components/media_player.spotify/#uri-links-for-playlistsetc

or this Spotify Playlist Player by GigabitGuy: Spotify Playlist Player

My current script to start Spotify on my FireTV looks like this – remember I use a Harmony remote:

spotify:
  alias: "Script - Start Spotify"
  sequence:
    - service: remote.turn_on
      entity_id: remote.media_center
      data:
        activity: 2981089
    - service: media_player.select_source
      data:
        entity_id: media_player.spotify
        source: Amazon FireTV Stick Gen 2 ♢
    - service: media_player.media_play
      data:
        entity_id: media_player.spotify

to start a playlist you would just change the last service to this (playlist is from Spotify component docs):

    - service: media_player.play_media
      data_template:
        entity_id: media_player.spotify
        media_content_id: 'spotify:user:spotify:playlist:37i9dQZF1DWSkkUxEhrBdF'
        media_content_type: 'playlist'