JEE Advanced 2024 Physics question on Magnetism and Moving Charges

An infinitely long wire, located on the $x$-axis, carries a current $I$ along the $+x$-direction and produces the magnetic field $\vec{B}$. The magnitude of the line integral $\int \vec{B} \cdot d\vec{l}$ along a straight line from the point $(-\sqrt{3}a, a, 0)$ to $(a, a, 0)$ is given by

[$\mu_0$ is the magnetic permeability of free space.]