This card will not count itself as a card in your hand for its effect of increasing its cost, since costs are calculated while the card is being played and is already in the chase area.
The total cost of a card that is not in a chase area is the sum of its attribute cost and its free cost (if the free cost is X, treat it as 0), regardless of any further modifier. Thus, a card like "Flame King's Shout" can put this card into play from your hand.