Activate Mystic Mine fast as possible and block all the ways your opponent have to stop your play, blocking their extra deck with ghost reaper and some cards can stop you with prohibition, judgment and dark bribe
You have some cards to protect your mystic mine, like field barrier and you can use the counter of magic reflector on fild barrier to protect your strategy against harpie's feather duster and other cards who mass destroy spell and traps
Cosmic Cyclone is the most problematic card against this deck, because it ban cards and don't destroy, so the best target to prohibition is cosmic cyclone, if you draw prohibition on turn 1, my tip is block cosmic cyclone