The secret to winning a debate with a co-worker or one of your staff is actually being right.
When you realize you have made a mistake, the right thing to do is admit it.
Great leaders are willing to admit when they are wrong and are quick to apologize. One of the best leaders I have ever come across said this to me recently: “One of the biggest changes in me over the last 30 years is that people are much more likely to get an apology from me.”
Being the leader does not mean you need to be right all the time, it means you are very aware that you might be wrong, have the wisdom to realize it, and the character to admit it openly.