Properly abort a merge when merge conflicts occur

If somehow a user attempted to accept a merge request that had conflicts (e.g. the "Accept Merge Request" button or the MR itself was not updated), `MergeService` did not properly detect that a conflict
occurred. It would assume that the MR went through without any issues and close the MR as though everything was fine. This could cause data loss if the source branch were removed.

Closes #20425

See merge request !5569
Signed-off-by: Rémy Coutable <remy@rymai.me>