A server CPU under load generates heat, and its temperature $T(t)$ (in $^{\circ}\text{C}$) over time $t$ (in minutes) follows the model $T(t) = 75 - 50e^{-0.25t}$. If the cooling system fails when the temperature exceeds $65^{\circ}\text{C}$, after how many minutes will the system fail? (Use $\ln(0.2) \approx -1.609$)