If more than one replacement effect tries to apply to a life gain event, the player who would gain life chooses the order in which they apply. For example, if a player who controls Alhammarret’s Archive would gain 3 life while Tainted Remedy is on the battlefield, that player may choose to have the 3 life become doubled to 6 life and then lose 6 life. The player may also choose to apply Tainted Remedy first, turning “gain 3 life” into “lose 3 life.” Alhammarret’s Archive would then not apply.