Use Gitlab-Workhorse-Send-Data to send entry

What does this MR do?

Use Gitlab-Workhorse-Send-Data to send entry:

Closes #19224 (closed), Closes #19128 (closed)

Also requires this MR to work: https://gitlab.com/gitlab-org/gitlab-workhorse/merge_requests/53

Are there points in the code the reviewer needs to double check?

Do we have a test for this?

Why was this MR needed?

This way gitlab-workhorse does not have to call any API.