projects_controller: Use "eager" strategy when requesting housekeeping

See merge request https://gitlab.com/gitlab-org/gitlab/-/merge_requests/108970



Merged-by: Pavel Shutsin <pshutsin@gitlab.com>
Approved-by: Pavel Shutsin <pshutsin@gitlab.com>
Reviewed-by: Vasilii Iakliushin <viakliushin@gitlab.com>
Reviewed-by: Patrick Steinhardt <psteinhardt@gitlab.com>
Reviewed-by: Pavel Shutsin <pshutsin@gitlab.com>
Co-authored-by: Patrick Steinhardt <psteinhardt@gitlab.com>