Install Web Service in Server

I have a simple Web app, whose sole purpose is to host the Web Service named CommonServices.

I run it now under VS2019 IISExpress.

I run another Web app that uses the CommonServices, and I expect to run various other apps that use that Web Service.

Anyway, I need to host the CommonServices under IIS 7.0 on a remote server (which is Windows Server 2008). Yes, I know those versions are pretty old, but it's what I have.

Do I need to install the whole Web app on the server, or can I just install the Web Service, since that is the only part that matters?

Either way, how do I install this thing to run on the IIS?