settings_ui: Make skills page UI more consistent with others (#58425)

Mainly around ensuring the section dividers are visible and placing the
link/share button in the same place as the other items in the
regular/main settings UI page.

<img width="600" alt="Screenshot 2026-06-03 at 11  57@2x"
src="https://github.com/user-attachments/assets/69233da6-e743-435b-911a-6dd70c079560"
/>

Release Notes:

- N/A
6eee96f4f1Danilo Leal committed on 6/3/2026, 3:08:29 PM· committed by GitHubparent19b91c4
2 files changedLine totals unavailable