My semi-annual Pro-Tip for Apologising:
1: It is not a show of weakness, rather it takes strength to admit we screwed up
2: There are no "ifs" when apologizing.
You were told you offended, admit your error
3: Show you are sincere by saying you realise your mistake and say something like "I will do better".
#Edit : Adding to #3 Ask: What can I do to make amends? Or What do you need from me to help us heal?
Thank you to @KimberlyN for the suggested edit
Thank you for listening to my Pet Peeve