JEE Main 2025 — 23 January, Evening Shift — Question 2

Let $A=\{(x, y) \in \mathbf{R} \times \mathbf{R}:|x+y| \geq 3\}$ and $B=\{(x, y) \in \mathbf{R} \times \mathbf{R}:|x|+|y| \leq 3\}$. If

$\mathbf{C}=\{(\mathrm{x}, \mathrm{y}) \in \mathbf{A} \cap \mathbf{B}: \mathrm{x}=0$ or $\mathrm{y}=0\}$, then $\sum_{(x, y) \in C}|x+y|$ is :