To disarm anger, try empathy instead of apology
If you think back to the last time you felt hurt or wronged, confronted the person in question, and received an “I’m sorry” in response, how satisfied did you feel? Assuming the person was sincere and did not try to explain or justify the behavior, did you consider the apology sufficient to make up for the offense? Most likely it did not, because anyone can wrong another person and say “I’m sorry” without having any real understanding of how their actions were hurtful, why they mattered, or how others felt about them.
The act of apologizing does not actually convey understanding or empathy. So why bother?