For $$\theta : 0^\circ < \theta < 90^\circ$$
$$3 \sec \theta + 4 \cos \theta = 4\sqrt{3}$$, find the value of $$(1 - \sin \theta + \cos \theta)$$.

A

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

B

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

C

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

D

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