Searching for a project ignores the group its in

Zendesk ticket (internal link): https://gitlab.zendesk.com/agent/tickets/88964

A customer noted that projects are only searchable by name, not full path.

Group names are not used when searching in a project list

When I do: shift + p, f, then type any group name

I'd expect: projects containing search pattern anywhere in their full path (group/subgroup/name) are returned

What happens: only project names are used for filtering, therefore no projects returned

I think this makes sense. Could we expand this search, as in on https://gitlab.com/dashboard/projects, to search by the project's full_path as well as just its name?

/cc @jramsay