I appreciate the desire to help but I promise I already understand what you are saying and have thought a lot about it.
Try to slow down and think about it from your bosses view. Assuming they are a reasonable person, they don’t WANT you to be sorry. What they WANT is you to not make those mistakes.
Precisely the reason I am talking about how vital the skill of saying sorry for me is that in these situations I fundamentally cannot ensure I won’t make those mistakes again. Of course there are organizational strategies, time management techniques, proactive structuring of my work environment etc… that help and have helped me be a better person but ultimately there is a truth in that moment that all I can really do is say sorry.
This mismatch between the other person just getting “sorry” when what they really want is the thing to have not happened or happen again is precisely the reason I have to be so skilled at saying sorry.