Let $A=\begin{bmatrix} 2&1&2\\ 6&2&11\\ 3&3&2 \end{bmatrix} \quad\text{and}\quad P=\begin{bmatrix} 1&2&0\\ 5&0&2\\ 7&1&5 \end{bmatrix}. $ The sum of the prime factors of $\left|\,P^{-1}AP-2I\,\right|$ is equal to: