Acknowledging a mistake…
…there is no “if”, there is no “but”. There is no excuse, there is no defense.
If one really wants to acknowledge a mistake, maybe even learn from it, it’s much better to shut up, listen wholeheartedly, avoid being defensive, stop rationalizing.
Say, even if one doesn’t really believe it, pretend that the people pointing out the mistake are right. Get on their side.
Otherwise it’s going to be as useful as running in circles. Worse: it may reveal one as not actually having acknowledged a thing. Bye bye reputation!!