Sample letter of apology to someone for facing embarrassment

Dear {Recipient}

Please accept my deepest apologies for my mistake in regard to {state mistake}.

It was not my intention to create such an awkward and embarrassing situation for {you, institution, the team, company, etc…}.

If there was any good that came out of this unfortunate experience, it is that I have grown and learned alternative approaches to these situations.

Please feel free to let me of your thoughts and concerns over this matter. You can reach me at {email, phone number}. 

Sincerely,
{Sender}