If $$\cos(2 \theta + 54^\circ) = \sin \theta, 0^\circ < (2 \theta + 54^\circ) < 90^\circ$$, then what is the value of $$\frac{1}{\cot 5 \theta + \sec \frac{5 \theta}{2}}$$?

A

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

B

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

C

$$\frac{\sqrt{3}}{3}$$

D

$$\frac{1}{3}$$