Visible crew/equipment: When Carrie is sitting at the table writing on her laptop after her trip with the girls to the sports bar, the camera comes round and you can see her TV. You can see a boom mic reflecting on the TV screen, and another camera.
Continuity mistake: When Seth tells Carrie that Dr. G's plant is plastic his hand is either holding the glass or not. This changes back and forth.
Continuity mistake: Carrie tells Seth that "Dr. G runs a psychological test" and Seth covers his mouth with his left hand. A shot later his hand is away.
Continuity mistake: When Carrie talks about his first date with Seth there's an aerial shot of him holding a drink and taking a sip. A shot later he is not holding the glass.
Continuity mistake: When Stanford tells Carrie that she has to have a shrink, a man suddenly appears behind and the kid next to him changes positions between angles.
Continuity mistake: At the bar Sam drops her jacket on the floor and walks towards a guy. The jacket magically appears on the seat a shot later.
Continuity mistake: While the girls walk down the street at night Miranda says "relationships are not about games" and the road behind is empty. A shot later in the close-up it's jammed with cars.
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