Allow only users with `adminNote` permission to edit the design note

What does this MR do?

Previously, all users were shown an icon and form to edit a note and they got an error on sending a form which could create bad user experience. Now, only the user who has a permission to edit a note will see the edit button.

In addition, I've renamed permissions query to design_permissions to avoid mixing it with note_permissions and changed name casing to snake case (should be done for all the .graphql files in Design Management)

Screenshots

With admin permissions	Without admin permissions

Does this MR meet the acceptance criteria?

Conformity

• Changelog entry
• Documentation (if required)
• Code review guidelines
• Merge request performance guidelines
• Style guides
• Database guides

Availability and Testing

• Review and add/update tests for this feature/bug. Consider all test levels. See the Test Planning Process.
• Tested in all supported browsers
• Informed Infrastructure department of a default or new setting change, if applicable per definition of done