Activate Araumi by tapping it and exiling cards from your graveyard equal to the number of opponent you have, giving Mirror-Mad Phantasm encore until end of turn.
Activate Mirror-Mad Phantasm's encore ability by paying ({3} magic symbol) ({U} magic symbol) ({U} magic symbol) and exiling it, causing you to create a token copy with haste for each opponent you have.
Activate a Mirror-Mad Phantasm token by paying ({1} magic symbol) ({U} magic symbol) , causing you to shuffle it into your library, then reveal and mill your entire library due to not having a card named Mirror-Mad Phantasm in it.
Draw a card, causing you to win the game due to drawing from an empty library.