It's difficult to admit you were wrong. Or even if you weren't wrong and have to make a strategic apology, it's still difficult. Let's make the difficult thing un-difficult-er. HOW TO APOLOGIZE.
1. take a deep breath
2. look the person in the eye
3. or both eyes, whatever
4. say "I'm sorry"
5. and stop there
6. do not attach "...that you were offended"
7. and don't add on "but..." or "it's just that..."
8. no no, just resist
9.
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12. hey you did good