Upcoming game build (soon™) will have a lot of new cards to improve strategy and versatility. Here are three of them: Paper Suppress, Rock Suppress, Scissors Suppress
By using one of those trick cards you will limit your opponent's ability to choose one of the R/P/S options during the next turn brawl. This will guarantee that the opponent will not be able to use their Ultimate card next turn and drastically improve your chances of using your Ultimate card instead.