I believe that if you apologize for a mistake, you don't become smaller in anyone's eyes. Instead, you acknowledge your mistake and commit to being more mindful in the future. This is a true sign of a civilized and respectful individual."

Yes you are absolutely true.Apologising never makes anyone inferior or smaller ,instead you behave more responsibly by admitting your fault and not letting matters worsen.One who apologises should be considered more civilised and also the one who forgives easily must be given honour for because it is not an easy thing to do in this modern world either.Letting go iff things that escalate the matter is a virtue highly rewarding.
Success