Use Gitlab-Workhorse-Send-Data to send entry

## What does this MR do?

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

Closes #19224, Closes #19128

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.

See merge request !5094