In the Display Logic Rules, add the option to "hide service" with "Availability by the network".

We are in a Network Zone consortium that does Resource Sharing. Right now, we can hide services like "Purchase Request" if the item with "Availability by the institution" or "Ownership by the Institution" is true, but we also want to hide it for availability in the network, so that patrons are forced to try Resource Sharing in our network first, rather than submit a Purchase Request.