If you split with a friend over a lie they believed of you, would you ever take take them back once they discovered the truth and apologized?

I’m not really looking for advice. Personally I don’t give people a second chance in such a situation. Unless they happen to have been really fooled.
I ask this question more out of curiosity. My husband and I are not in agreement. He’s always willing to forgive and forget.
I don’t want to say why I wouldn’t give them a second chance yet. I’ll type my own answer later. I don’t want my reasons to influence anyones answers.
Thank you to those of you who answer.