Thank you for your patience (are you still there?) - the sentence has now been edited to remove "apologize" from the list of possible answers - the meaning of this sentence is solely forgive (or its synonyms like "to excuse", and whenever possible "to pardon").
Our greatest apologies. Please forgive us, everybody :)
That's exactly right, dogrow. The sentence has now been edited to erase "apologize" (even in its ungrammatical form, without the preposition) from the list of possible answers.
Thank you all for your reports and for your undying patience, and good luck with your studies :)