JEE Advanced 2024 Chemistry question on Chemical Kinetics

Consider the following reaction, $2\mathrm{H_2(g)} + 2\mathrm{NO(g)} \rightarrow \mathrm{N_2(g)} + 2\mathrm{H_2O(g)}$ which follows the mechanism given below: $2\mathrm{NO(g)} \underset{k_{-1}}{\overset{k_1}{\rightleftharpoons}} \mathrm{N_2O_2(g)}$ (fast equilibrium); $\mathrm{N_2O_2(g)} + \mathrm{H_2(g)} \overset{k_2}{\rightarrow} \mathrm{N_2O(g)} + \mathrm{H_2O(g)}$ (slow reaction); $\mathrm{N_2O(g)} + \mathrm{H_2(g)} \overset{k_3}{\rightarrow} \mathrm{N_2(g)} + \mathrm{H_2O(g)}$ (fast reaction). The order of the reaction is ______.