In combination with auto-labeling staff PRs, this makes it possible to
see the community PRs with `-label:staff -label:bot` in the search query
on https://github.com/zed-industries/zed/pulls
Release Notes:
- N/A
Modifying the existing github workflow here instead of adding a new one
because we're already triggering on the same thing (new PR opened) and
checking the same thing (staff team membership) but throwing away the
result. Another CI job doing largely the same checks seemed unnecessary.
Release Notes:
- N/A