Fabric of Time and Space

(A nonexistent mana cost can't be paid.)
When you draw this card, secretly choose a nonland permanent an opponent controls. For as long as that permanent is on the battlefield, this spell's mana cost is {w/u}.
When you cast this spell, if {w/u} was paid for using {u}, counter target activated or triggered ability of the chosen permanent. If {w/u} was paid for using {w}, remove the chosen permanent from combat.