What are the eggs and puzzles in the grotesque town?

The most impressive time, in the last episode, they stood in a circle and tried to kill the pine tree represented by Bill Dipper with collective strength. Yes, his hat has always been a pattern of pine trees. When I want to watch the whole drama again, I always feel strange when I see the first episode of the first season. Later, when the dwarfs chased Dipper and Mabel, I noticed that Dipper was not wearing a pine hat. A dwarf climbed into Dipper's face, and Mabel began to hit him wildly in the face. Dipper's hat flew out of the speeding golf cart while the dwarf was being beaten. After defeating the dwarf, the two returned to the mysterious hut covered with leaves, decadent. Stan noticed their decadence and suggested that they could choose a gift from the goods. At this moment, Dipper saw the loose hat on the shelf and put it on contentedly. The first episode of the first season is already preparing for the last episode of the second season. By the way, in the whole play, Mable's sweater has never been copied. However, in the first episode of the first season and the last episode of the second season, she wore the same sweater, a meteor sweater.