Limit, Continuity and Differentiability: JEE Main 2025 Mathematics question

Let $x = -1$ and $x = 2$ be the critical points of the function $f(x) = x^3 + ax^2 + b \log_2|x| + 1,\ x \ne 0$. Let $m$ and $M$ respectively be the absolute minimum and the absolute maximum values of $f$ in the interval $\left[-2, -\frac{1}{2}\right]$. Then $|M + m|$ is equal to: (Take $\log_2 2 = 0.7$)