The area of the region, inside the circle $( x - 2 \sqrt { 3 } ) ^ { 2 } + y ^ { 2 } = 12$ and outside the parabola $y ^ { 2 } = 2 \sqrt { 3 } x$ is:\\ (1) $3 \pi + 8$\\ (2) $6 \pi - 16$\\ (3) $3 \pi - 8$\\ (4) $6 \pi - 8$