Auto-ranging. Should be fine. Note that the AC current will approximately double. The gauge of the power cable should be verified that it is sufficient to carry that current. It is maxed out a ~4 Amps, so it’s likely fine but verify to avoid potential fire hazard. Also verify whether there is anything between the supply and the line cord. A switch should be fine but if there are other electronics, that should be looked at for compatibility.
Ensure that you get the wiring correct per the following diagrams before powering on. The color codes may not match typical 120V color coding on the power supply. For the US, black is line/hot (goes to power supply brown), white is neutral (goes to power supply blue), green (with yellow stripes) is gnd.
Terminals on the new 120VAC plug should be labeled with L=Line/Hot, N=Neutral, and G=ground. Or, Brass color = Line. Silver color = Neutral.