Create Event Through API and set Display to staff users only flag

When Creating an Event through API, does anyone know how to set the "Display to staff users only" flag? It currently is defaulting to true and I need it to be false.

this flag can be found when you edit the event > Pricing then click the Registration option link > Info tab

I know that in the database it's the WEB_ENABLED field in the Product_Function table, but not sure how to translate that into the API call.