The control portion from the projector may be low voltage, but is the humidifier control circuit low voltage as well? I know your condensate pump is most likely 120V, right?
You need a properly rated and ul certified relay if you're connecting any portion of it to 120V.
You will also wreck any ul certification on the humidifier and pump if you open them up and play with the wiring.
Best bet is certified and compliant relay controlling an outlet which the pump and humidifier are plugged into.