Looking on the internet deeply has found these results:

we apologize for this mistake is the most popular phrase on the web.

we sincerly apologize for this mistake 17,940 results on the web	we apologize for this mistake 137,300 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
I apologize for insulting you without knowing my place. I must apologize for Professor Vollmer. Psychopaths don't apologize for their behavior. I apologize for calling your entire unit unprofessional. Apologize for murdering her two brothers. I apologize for disturbing your work. I must apologize for our young hotheads. My client apologizes for his earlier reticence.	So let me apologize for all the mistakes I'm about to make. Okay, I'm sorry. I apologize for my mistake. And I apologize The Minister should invite Eliezer Shkolnik, today, to apologize for the mistake. In honor of our partnership and to, quite frankly, apologize for my mistake, perhaps I could take you to dinner. "A good man apologizes for the mistakes of the past, but a great man corrects them." my mistake. And also... apologize for whatever mistake was made.

we sincerly apologize for this mistake

17,940 results on the web

we apologize for this mistake

137,300 results on the web

More popular!

So let me apologize for all the mistakes I'm about to make.
Okay, I'm sorry. I apologize for my mistake.
And I apologize
The Minister should invite Eliezer Shkolnik, today, to apologize for the mistake.
In honor of our partnership and to, quite frankly, apologize for my mistake, perhaps I could take you to dinner.
"A good man apologizes for the mistakes of the past, but a great man corrects them."
my mistake.
And also... apologize for whatever mistake was made.