search: Fix empty search context hover tooltip

Created by: fkling

This is a quick fix for an empty tooltip currently rendered for the search context dropdown:

This came to happen because #36931 depended on #36870, but that got reverted in #36971.

Test plan

Hovering over search context doesn't render tooltip.

App preview:

• Web
• Storybook

Check out the client app preview documentation to learn more.

Merged by: fkling at 2022-06-10 17:34:25 UTC