Select the most more appropriate option to fill in the blank.
Karan offered his most heartfelt __________ for having offended everyone.

apology

The most appropriate option to fill in the blank is apology.

The word "apology" is a formal expression of regret for something that one has done or said that has caused offense or harm. In this context, it is the most accurate word to describe what Karan is offering. Karan is offering a formal expression of regret for having offended everyone. He is not simply saying "sorry" or "excuse me." He is offering a sincere apology for his actions.

The other options are not as appropriate.

• Pardon is a formal request for forgiveness. It is not the best word to describe what Karan is offering because it does not capture the sense of regret or remorse.
• Sorry is a less formal expression of regret. It is not the best word to describe what Karan is offering because it does not capture the sense of formality or sincerity.
• Excuse is a word that is used to apologize for a minor offense or inconvenience. It is not the best word to describe what Karan is offering because it does not capture the sense of seriousness or regret.