Equilibrium: JEE Main 2025 Chemistry question

The equilibrium constant for decomposition of $\mathrm{H_2O(g)}$, $\mathrm{H_2O(g) \rightleftharpoons H_2(g) + \frac12 O_2(g)}$ ($\Delta G^\circ = 92.34$ kJ mol$^{-1}$), is $8.0\times10^{-3}$ at 2300 K and total pressure at equilibrium is 1 bar. Under this condition, the degree of dissociation ($\alpha$) of water is ______ $\times10^{-2}$ (nearest integer value). [Assume $\alpha$ is negligible with respect to 1]