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Does an executed human get a new Loyalty card right away in Pegasus?

Not in Pegasus alone: a human executed before the Sleeper phase simply gets a card at the Sleeper phase like everyone else, with exceptions for Sharon "Boomer" Valerii (new card when executed) and Gaius Baltar (extra card when chosen as a replacement before the Sleeper phase). If you also play with Exodus, its revised execution rule has the executed human draw a new Loyalty card immediately.

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