I tried twice now but was unable to win, first game Reverse Time removed my Dragons, second game Ice Shield froze them.
I also found that 4 Dimensional Shields are not enough.
4 not enough? That's odd, maybe you played those too early. Keep shields in hand until you're in risk of losing. Preventing some damage early isn't wise, when you can prevent a lot more later.
Gravity Shield is a problem for that
/
deck too, but having Parallel Universe can save you there. HB
decks usually have Chimera that you can copy = turn your Dragons to huge unstoppable Chimera.