Is there any way to use the YouTube Data API to find out if a playlist is embeddable?

I have 3,000 playlist IDs, each of which I want to check to confirm that it's embeddable.

At https://developers.google.com/youtube/v3/docs/playlists/list , there are options to get a playlist's player embed HTML, but unfortunately, even if a YouTube playlist is not embeddable, the playlist embed HTML is still returned.

Example - https://developers.google.com/youtube/v3/docs/playlists/list?apix_params=%7B%22part%22%3A%5B%22player%22%5D%2C%22id%22%3A%5B%22PLB7L1iP9FUrDKwrjgcxKH8eRhVKiTBaJe%22%5D%7D

Is it possible to see if a playlist is embeddable? (I know I can check if the videos in a playlist are embeddable, but it's possible for all the videos in a playlist to be embeddable and for the playlist itself not to be.)