Thank you very much, @Lowlander and @Peke ! I have now successfully implemented it, but instead of <playlist> I have entered the name of the respective playlist.

The resulting reduced library I have then added along with the playlists in my Android Radio. So this time not via USB stick, but directly to the hard drive of the radio. Nevertheless, the playlists are not transferred (which is basically superfluous, because the folders are identical to the playlists). I have manually recreated all 22 playlists and added the contents of the folders. Now everything works as desired.

It is fine that you / MediaMonkey provide this method to be able to copy it automatically.

[quote=Dancer post_id=510421 time=1685731414 user_id=115380]
Thanks, Lowlander. Unfortunately, I don't have the slightest idea how to do this, either with Sync or Auto-Organize. Please explain it to me in a little more detail.
[/quote]To be more direct and get you started with Masks. Both ways have its benefits so as Lowlander pointed you should read both links.
That said try this for start
1. Right click on Playlist -> Auto Organize
2. MUST Select COPY not MOVE, DISABLE Add copied files to to Library and Trim long paths
3. Right from Destination Mask Click CONFIGURE
4. Browse where you would like that files are copied
5. in Subdirectories write "<Playlist>" (you can also use >> to add Playlist mask)
6. in Filenames write "<Auto number>. <Artist> - <Title>"
7. Check in preview window if all looks good -> OK to confirm
8. Check in preview if you are satisfied with result
9. Click ok

MM saves last few successful organize so unless you want to change for each next playlist you will only need to Follow steps 1, 8, 9

Here is sample look of steps above:
[url=https://ibb.co/tXMwY07][img]https://i.ibb.co/tXMwY07/image.png[/img][/url]

See: https://www.mediamonkey.com/wiki/WebHelp:Changing_Filenames/5.0

<Playlist> is one of the Masks available for Auto-Organize Files: https://www.mediamonkey.com/wiki/WebHelp:Configuring_Directory_and_File_Formats/5.0

Thanks, Lowlander. Unfortunately, I don't have the slightest idea how to do this, either with Sync or Auto-Organize. Please explain it to me in a little more detail.

Use <Playlist> in Sync or Auto-Organize (Files).

I want to create a smaller music library where only tracks that are in a playlist are included. From 22 playlists I want to create 22 folders, only with the tracks of each playlist.

What is the easiest and fastest way to do this?