On the coordinate plane, let $\Gamma$ be the graph of the cubic function $f(x) = x^{3} - 9x^{2} + 15x - 4$. The tangent line $L$ to $\Gamma$ at point $P(1, 3)$ was found in question 16.\\
Continuing from 16, find the area of the bounded region enclosed by $\Gamma$ and $L$.