Continuity mistake: At the bar "Trade" Charlotte is having tape on her upper body in one shot, but it disappears a second later when she sees Anthony. She has no time to take it off. (00:03:45)
Continuity mistake: When Carrie and Charlotte bump into Anthony at the club he extends his arms and holds Charlotte's hands, but his arms are not extended a shot later.
Continuity mistake: When Anthony appears, a piece of rectangular confetti suddenly appears out of nowhere on Charlotte's hair in a mere half a second.
Continuity mistake: At the club, the way Carrie holds Oliver's porn movie changes between the first and second shot.
Continuity mistake: When Oliver spots Carrie's engagement ring she drinks Martini and the toothpick holding the olives is next to her mouth, a shot later it has magically moved next to her hand, but a shot later it's nowhere to be seen.
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