Electrostatics: JEE Main 2025 Physics question

An infinitely long wire has uniform linear charge density $\lambda = 2$ nC/m. The net flux through a Gaussian cube of side length $\sqrt3$ cm, if the wire passes through any two corners of the cube, that are maximally displaced from each other, would be $x$ N m$^2$C$^{-1}$, where $x$ is: [Neglect any edge effects and use $\frac{1}{4\pi\epsilon_0} = 9\times10^9$ SI units]