All managers make mistakes; good managers acknowledge and repair

I've tried do this a couple of times in the last year, but it always seems to backfire, specifically with Gen Z. After I apologize, they seem to think of it as an opening to continue to shit on me and bring up more of my shortcomings -- which is just bizarre to me. Because of this, it's made me really second guess acknowledging when I think I've made a mistake.

You will have to lead.

The alternative is a race to the bottom.

Thanks. I needed someone to say that to me. Appreciate it.