Continuity mistake: After Big asks for permission to smoke his cigar, Carrie's arms are either under the table, or on the table depending on the shot.
Visible crew/equipment: At the phone booth, Steve says "blue moon", and right then two lighting screens get reflected on his lenses. (00:23:42)
Continuity mistake: When Steve is dozing and Miranda wakes him up, his hands lay by his sides or are crossed on his tummy, depending on the shot. (00:18:51)
Continuity mistake: Carrie cools Big's swollen nose and he touches it with his right hand. A shot later, his left hand is raised.
Continuity mistake: At the bingo place, Miranda's Martini is on the table, but a shot later she is holding it.
Continuity mistake: Carrie holds her fork with her right hand, but half a second later it's in her left hand. Then it reappears in her right hand. (00:04:59)
Continuity mistake: Sam says "it's not what they look like, it's what they can do with it" and holds her fork next to her mouth. From the angle shot from behind hand and fork disappear.
Answer: I'm a long-time fan of the show, having re-watched it many times, and I definitely remember slightly different dialogue at the end of that episode than what's on my DVD. I'm afraid I have no idea why this change might have been made or any other info, but you're not insane.
Purple_Girl