The fact that you’ve posted about it on here means that you obviously care. A lot of people would have laughed it off or made some bullshit excuse about how it wasn’t really their fault. You also accepted the blame and apologised.
By my simple logic you therefore seem like a decent person.
If you worked for me I’d probably ask you to help fix the systems and procedures so you can’t mess it up again, but if it was a genuine mistake, and you’ve not got a catalogue of similar mistakes behind you, we could chalk it up to experience.
Unless there’s lasting repercussions, learn from it, put it behind you and move on.
:)