This is a fluid battlefield, adaptability is key.
Keep in mind:
combat cards are a limited resource, and it is crucial to not waste your high cards. Jump cards likewise are a limited resource, and could be the difference between winning and losing in the late game as you try to get your winning piece off the board. It's also important to remember them when considering where pieces can move; a pit is not always a block. Ability to open the portcullis (or break through a wall!) is important; this is a race game (with occasional bouts of violent confrontation), and mobility is key. Likewise, you can easily find your key pieces trapped in a corner if you don't control the spin control. Even worse, once your pieces are immobilised, your opponent will be watching for you to try to free them. Never forget the option of spinning the corresponding room, especially if your opponent is using it to plan their next attack!
Moving your characters off the other side gains points towards the victory, but weakens what you have left on the board.
Information is visible, once the tiles are revealed. You should be able to anticipate a couple of turns in advance, especially when the number of pieces are reduced. Don't waste your high action cards without reason. Be efficient, and save them towards a "killer turn"
Know what every character can do.