I'm unaware of ANY recent HVAC equipment whose motors couldn't tolerate 200-230 nominal, delivered voltages.
More current will be drawn at the reduced voltage.
The big issue for many HVAC systems is not the motor -- but the control power transformer.
Many are multi-tap -- in which case re-tapping would be most wise.
Unlike the motor, the control logic is pretty finely dialed in.
230 rated single phase motors will run at 208 volts, but will probably not last long (more than a few weeks or months) before they burn up.
I'd also question whether a 'window' unit will have any control transformer multi-tap ability, it might though, it seems some of the newer units are dual rated.