All Submissions:

• Have you followed the WooCommerce Contributing guideline?
• Does your code follow the WordPress' coding standards?
• Have you checked to ensure there aren't other open Pull Requests for the same update/change?

Changes proposed in this Pull Request:

Adds the product settings menu to the header of the new product management experience.

Closes #35175 .

• This PR is a very minor change/addition and does not require testing instructions (if checked you can ignore/remove the next section).

How to test the changes in this Pull Request:

1. Navigate to the new product management experience ( Products -> Add new (MVP) )
2. Click on the Settings cog icon in the top right inside the header.
3. Note the menu opens with the option to enable reviews and update menu order
4. Toggle the “Advanced” section to make sure that it opens and closes as expected
5. Attempt to close the settings menu with both the cross (“x”) and the settings cog button.
6. Check that “Enable reviews” is checked by default on new products
7. Update the “Enable reviews” and “Menu order” settings and update or publish the product
8. Refresh the page and make sure that your settings persist.

Other information:

• Have you added an explanation of what your changes do and why you'd like us to include them?
• Have you written new tests for your changes, as applicable?
• Have you created a changelog file for each project being changed, ie pnpm --filter=<project> changelog add?

FOR PR REVIEWER ONLY:

• I have reviewed that everything is sanitized/escaped appropriately for any SQL or XSS injection possibilities. I made sure Linting is not ignored or disabled.