For the most part, I think specific sideboard answers are a poor way to fight Lantern Control anyway, as its so good at denying an opponent from casting any particular spell, so the weaknesses come from decks where Lantern is structurally disadvantaged rather than from an abundance of hate
Sadly the legend rule still applies, so you cant copy Nykthos, Shrine to Nyx or Gaeas Cradle
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There aren't really many defined Vampire "combos" and what they can do is largely determined by your exact opening hand, but I'll attempt to provide a sample combo for reference: A Vampire-capable hand would be something like opening Uni-Zombie, either Vampire Familiar or Retainer and at least 1 other Vampire card to discard