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In the game’s files are unused text regarding Easy Mode.
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Paper Luigi was originally intended to be playable as well, but he ended up being excluded, because the game became too complicated with his implementation featuring 4 buttons to press.
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However, given that there are already two trademarks for "PaperJam" as well as a brand of toys that were sold in the UK under the name "Paper Jamz", it is more than likely Nintendo repeated the easier road by adding "Bros."
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