Change name on mac and in apple music

How to change my name (not artist) in apple music and on my mac air? I changed name in Apple Id and it’s connected with music and with my mac, but my name in apple music and my name on mac still the old version. There is not “account” and “change name” in music’s profile. I’m pro user, can find any settings, but Apple became not intuitive easy. Help me )-: