The value of
$$\frac{4 \sin^2 30^\circ \tan 60^\circ - 3 \cos^2 60^\circ \sec^2 30^\circ}{4 \cot^2 45^\circ - \sec^2 60^\circ + \sin^2 60^\circ + \cos^2 90^\circ}$$ is:

A

$$\frac{2(\sqrt{3} - 2)}{3}$$

B

$$\frac{1}{3}(\sqrt{3} + 2)$$

C

$$\frac{2(\sqrt{3} + 2)}{3}$$

D

$$\frac{1}{3}(\sqrt{3} - 2)$$