In a multiplayer game, if a player leaves the game, all cards that player owns leave as well. If you leave the game, the permanent you control from Beacon of Unrest is exiled.
If the target card is an illegal target by the time Beacon of Unrest tries to resolve, the spell wonâ€™t resolve. You wonâ€™t shuffle it into your library.
If a Beacon is countered or doesnâ€™t resolve, itâ€™s put into its ownerâ€™s graveyard, not shuffled into the library.
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