Valuable Spades

You have a shuffled standard deck of cards before you. You draw a card and are paid out the value equal to it's face, where $A = 1, J = 11, Q = 12,$ and $K = 13$. However, all spade-suited cards are worth triple their face value (for example, the ace of spades is worth $3$). If you draw a card uniformly at random from the deck, find the expected value of the card.