Even umpires get calls wrong. The good ones don’t pretend they didn’t when the replay shows it.

Authority gets confused with being right, usually by the person holding it. Admitting a mistake while you are in charge feels like it undermines you, and in practice it does the opposite, because everyone could already see what happened and the only open question is whether you are honest about it. Denial costs the respect, not the error.

Next time you are running something small and get it wrong, say so first, before anybody raises it. Fix what can be fixed and move on without a speech. People forgive mistakes from someone who owns them much faster than you expect.