I'm working my way through the steps described in the document "Share custom layouts for printing from ArcGIS Pro" and I've hit a wall. Under the section called "Publish a print service to the stand-alone server", I'm good until step 2. When I right-click my server connection and go to the Publish menu, I do not have an option for Geoprocessing Service. I only have Map Service, Tile Service, and Geocoding Service as options. I also tried to go to the geoprocessing history and right-click the successful Export Web Map tool execution, and that only gives me the option to create a geoprocessing package.
My Pro license is ArcGIS Advanced, using arcgis.com as my Licensing Portal. My server connection in Pro is set up through an account with administrator privileges. The stand-alone server is running version 10.8.1 and I already have lots of map services published to it.
What am I missing? Why don't I have the geoprocessing service option?