Continuity mistake: When Kim Jong Il falls off the balcony, his head is on the left, but when he's stuck by German helmet his head is on the right. He should have fallen with his head on the left. (01:29:20)
Continuity mistake: Near the end, when Spottswoode is being televised on the auditorium's monitors, he tells everyone to go home to their countries, he then tells them to thank Gary. The next shot shows Gary and Lisa on Kim's balcony when a spotlight swings over to them and highlights the pair. However in the next shot, a close-up of Gary and Lisa, they are not spotlighted, but in ordinary light and shadow. (01:30:10)
Continuity mistake: During Gary's speech at the end, in one scene his hair is messy, but as the camera angle changes it is straightened again.
Continuity mistake: When Joe accidentally hits the Eiffel Tower, it topples over to the right. Yet later when the team (minus Sarah) are standing in front of the Tower, it is now shown as having toppled to the left.
Continuity mistake: During the vomiting scene, there is vomit down the front of the Gary's shirt, when the camera cuts away it disappears, then after the next cut it reappears again.
Continuity mistake: Based on shootings and other events in the film the marionettes do bleed when they are shot or attacked. Hans Blix should bleed when he is attacked by the sharks, but there is no blood in the water.
Continuity mistake: When Gary is remembering at the start of the film the incident with his family and is looking at the picture in the mirror, you can see there are 4 people in it. The next shot when Gary is speaking with Spottswoode the picture (to the left) has changed to being just 2 people in the picture.
Continuity mistake: After being shot, Carson's head is lying in Lisa's lap as he is dying. The overhead shots show Carson's head supported by Lisa's leg, but shots from the ground up at Lisa's face show his head supported by a hard, flat surface.
Answer: Without giving a timecode, I can tell you that it's during the third act, when Team America has already been freed from their prison cells (in North Korea), and are fighting through the F.A.G. defenses.