$$p + \frac{1}{{p + 2}} = 1{\text{,}}$$Find the value of $${\left( {p + 2} \right)^3}$$$$+$$ $$\frac{1}{{{{\left( {p + 2} \right)}^3}}}$$$$-$$ 3 = ?

• A. 2
• B. 6
• C. 8
• D. 5