NAME_1, NAME_2, and NAME_3 are playing a game. At the start of the game, they are each holding a ball: NAME_1 has a black ball, NAME_2 has a brown ball, and NAME_3 has a blue ball.

As the game progresses, pairs of players trade balls. First, NAME_2 and NAME_3 swap balls. Then, NAME_1 and NAME_2 swap balls. Finally, NAME_3 and NAME_2 swap balls. At the end of the game, what ball does NAME_1 have?

Let's think step by step. For each ball trade, list who has which ball. Who has which ball in the end? Avoid using the following keywords: name_3, name_1, swap, ball
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