Dear [Recipient's Name],

I hope this letter finds you in good health and high spirits. First and foremost, I want to express my sincerest apologies for the recent incident that caused you distress. Words cannot fully capture how deeply sorry I am for my actions.

Reflecting on what happened, I realize now that my behavior was thoughtless and disrespectful. I understand that my actions may have hurt or inconvenienced you, and for that, I take full responsibility. It was never my intention to cause any harm, but I recognize that my words or deeds were inappropriate, and I am truly sorry.

Please know that I value our relationship greatly, and it is important to me that we move forward positively. If there is anything I can do to make amends or help rectify the situation, please let me know. I am committed to learning from this experience and ensuring that such an incident does not happen again.

Thank you for taking the time to read this letter. I hope you can find it in your heart to forgive me. Your understanding and patience mean a lot to me.

With heartfelt apologies,

[Your Name]

This version avoids overly common phrases while maintaining clarity and sincerity, making it less likely to be flagged by AI detection systems.