I have 3.6.8849 now but still can't remove the cuesheet.
That option is available for me, using your audio file.
Are you sure that you don't have this when right-clicking the track?:

By the way:
In this particular case, it is not an embedded cuesheet we are talking about, but (as Steven guessed) an embedded chapter list. (intended for audiobooks)
So MusicBee's wording of: 'remove cuesheet' is technically not correct in cases like these. It should say something like 'remove chapter list'.
I'm still curious and interested if it would be possible to embed a cuesheet in mp3 files.
But goooogling/chatgpting this hasn't provided me with positive results so far.