Jin-Gitaxias helps with that to some degree by letting you draw a card whenever you cast noncreature spells with mana value three or greater, but since were playing blue, it shouldnt be too difficult to draw enough cards to satisfy the first step of the journey
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However, grading costs and timeframes should be considered
At this point you can invest in cards like Ashe, Princess of Dalmasca, Combat Tutorial and Adventurers Airship to help keep your hand fueled, and even more cheap interaction like Youre Not Alone, Ice Magic and Syncopate to force through the win
Others like "Divine Wrath" or "Cursed Seal of the Forbidden Spell" requires discard cards for negate others, when "Counter Counter" will stop them for free as the opponent loses hand advantage
Batman Deck Goal: Stop Crime in Gotham City How: Use your utility belt full of equipment and the rest of the Batfamily to purge Gotham of crime and avenge your parents