All Threes Domino

Start by picking 7 domino tiles each for a two-player game. Set the first tile on the board to start the domino chain. Alternate adding tiles to either end of the chain, ensuring that the corresponding numbers touch. Gain points by creating multiples of 3 at the ends of the chain. Calculate your score by totaling the numbers on the ends of the domino chain after each move. Proceed playing until one player exhausts of tiles or no more moves are possible. Whoever with the highest score at the end wins.