Ah, I see. Your argument makes a lot of sense. I'm sorry you had to spell it out for me. I suppose I wasn't thinking clearly at the time. Apologies. And I

Ah, I see. Your argument makes a lot of sense. I'm sorry you had to spell it out for me. I suppose I wasn't thinking clearly at the time. Apologies. And I apologize for my general tone in my response. I made the mistake of writing it before attending to something, and my response ended up sounding much too forceful. It wasn't my intent, and I should have given your reply the attention it deserved.