Equilibrium: JEE Main 2025 Chemistry question

Consider the following equilibrium, $\mathrm{CO(g) + 2H_2(g) \rightleftharpoons CH_3OH(g)}$. 0.1 mol of CO along with a catalyst is present in a 2 dm$^3$ flask maintained at 500 K. Hydrogen is introduced into the flask until the pressure is 5 bar and 0.04 mol of $\mathrm{CH_3OH}$ is formed. The $K_p^\theta$ is ______ $\times 10^{-3}$ (nearest integer). Given : R = 0.08 dm$^3$ bar K$^{-1}$ mol$^{-1}$. Assume only methanol is formed as the product and the system follows ideal gas behaviour.