После настройки AI-перевода посты уже автоматически переводятся, но кнопка переключения языка не отображается в верхней части и справа от поста

Can you edit this post, then check if the post locale has been detected yet?

It would ideally show up as zh_CN.

Automatic post locale detection takes time and is required to determine what the language of the post is. You can also set this yourself in the composer, then the automatic detection will be skipped if the value is set.