Description

If you place a Search block inside of a menu in a Navigation block, then set the block to "Button only" (or any other option besides "Button inside"), the style is not persisted when the Navigation menu is saved. The Search block reverts to "Button inside". See the gif below.

Step-by-step reproduction instructions

1. Create a Navigation menu
2. Save the Navigation menu
3. Add a Search block to the menu
4. Set the Search block to "Button only" (or any other option besides "Button inside")
5. Save the Navigation menu and see that the Search block is no longer set to "Button only"

Screenshots, screen recording, code snippet

Environment info

• WordPress 6.3 RC2

Please confirm that you have searched existing issues in the repo.

Yes

Please confirm that you have tested with all plugins deactivated except Gutenberg.

Yes