Update copy/paste block and styles UI with a flyout

[richtabor]

What problem does this address?

As a follow-up to #47164, let's replace the copy/paste block and styles <MenuGroup> section with a flyout UI. This would reduce the amount of space the copy and paste actions take up (from three menu items, to one), while also adding additional context for copying/pasting blocks, and copying/pasting styles.

There's not a component like this today; we'll need to introduce one.

Note: This is not planned for WordPress 6.2, but a follow-up.

Current:

Suggested

We could use another @WordPress/gutenberg-design pass; here are a couple ideas (sorting copy actions, or block/style actions) below (ref 1, ref 2).

[kristastevens]

Hi @richtabor, thanks for the copy review ping. I have one small suggestion, one I think that might help clarify the possible outcomes for the user.

Current:

Copy/Paste as

Suggested:

Copy/Paste

I think copy / paste are actions familiar to many users. The "as" introduces a little confusion here, as I would expect the following options to be nouns. If you remove it, you end up with a clean list of next possible actions the user can take.

[richtabor]

Copy/Paste

Good with me ✅

[richtabor]

Closing in favor of #49271.