Changing your mind in public when you’re wrong is how people learn to trust your opinions.

Changing your mind in front of people looks like losing and works like the opposite. It shows your opinions are attached to evidence rather than to your pride, which is the only thing that makes agreeing with you worth anything. People who never update are easy to predict and hard to trust.

Say the plain version when it happens. I thought that, I was wrong, here is what changed. Skip the long account of how you got there, do it once where people can hear, and notice how your next opinion lands.