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It does work quite nicely with pump spells though, so that might be a nice combo to help you draw a ton of cards

Here it's obvious that tapping a land is irrelevant, because Alice already had infinite mana, and even if she didn't, there's no benefit to having the mana floating instead of stored in an untapped Island

She provides an enormous amount of card advantage that can win the game by itself, and its fair to call her a bomb

If combat damage dealt to the monarch causes that player to lose the game, the triggered ability that causes the controller of the attacking creature to become the monarch doesn't resolve