Fix: Color schema is not correctly applied to the beta label

[t-hamano]

Note

This PR is the same as #3938. I submitted this new PR because I accidentally closed #3938 and it can no longer be reopened.

Trac ticket: https://core.trac.wordpress.org/ticket/57577

The site editor has a beta label and the .awaiting-mod class is used to indicate that it is a badge. I think this is the class originally used for the comment badge.

The background color style for this class works correctly if the top menu is given a badge. However, with the advent of the site editor, I believe the use of this badge in the child menu causes unintended behavior.

Therefore, I have updated the selector so that no matter which menu the badge with this class is used in, the background color will be applied correctly. Ideally, we might need a selector for the site editor, but since the beta label should be removed in the future, I have kept the current class name.

Before

before.mp4

After

after.mp4

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