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Two unexpected participants, originally the Lunaris twins started playing the game because they were interested in studying this strange earth fad. But soon they became addicted to playing it, wanting to best the game in their own way to prove their superiority to some inferior primitive earth game.
The alien siblings ended up developing different game philosophies. Rodney, who found the royal navy cards the most interesting due to how much it reminded him of his own homeworld's military that he admired so much mostly chose those cards. He also liked the idea of professional competitive games, and is therefore in support of banning overpowered cards as a form of "honor". He gets really into this warrior code which Silvia sees as juvenile. She on the other hand sees no logical reason to refrain from using the strongest cards she can obtain, so is squarely in the pirate "might makes right" side of the conflict.
The game has ended up consuming a lot of their alien minds to the point they are weirdly addicted to playing it, might be a weakness of their biology to be drawn to strategy games like this. Due to this they created new pirate/navy themed disguises so they can blend in with the other kids playing.