The foci of the ellipse \(\frac{x^2}{49} + \frac{y^2}{33} = 1\) are \(F_1\) and \(F_2\) as shown below. Let P be a point on the circle \(x^2 + (y - 3)^2 = 4.\) Line \(F_2P\) intersects the ellipse again at Q where the y-coordinate of Q is positive. Find the maximum value of PQ + F1Q.