Mark2010 said:
Once upon a time, I accidentally flip-flopped the identity of two players in a sports photo. SE ran the correction the next day starting with "because of a copy desk error......". That got my blood boiling as I explained how many reporters and photographers errors I found and fixed without so much as a comment and that the paper would be a joke without my bailing out the rest of the staff on grammar and the like.
You win as a team and you lose as a team. Just run the correction with no need to assign blame.
My long-time former employer used a similar format for corrections for the final 10 years or so of my career there. In fact, if anything, it was even more personal: "Because of a copy editor's/reporter's/photographer's error ..." The offending person had to fill out a form providing a detailed explanation of what happened. If somebody simply wrote, "I screwed up," it wouldn't be acceptable and would be kicked back to that person for a rewrite.
We were always told that these corrections didn't go into a red file and didn't factor into raises and demotions, but nobody believed it. I learned the truth when it came time to do a copy editor's annual evaluation and my boss told me, "Be sure to mention that he's busted 12 headlines in the last year." I did not do so in the evaluation and never heard about it, but who knows what happened further up the food chain.