I have an App Service Plan and a Web App that are in the same Resource Group and also the same Region, which according to the above comments and the referenced documentation make them part of the same webspace, but I still cannot move the Web App, and in fact the "Change app service plan" link in the Azure Portal is disabled.
After reading the section at https://learn.microsoft.com/en-us/azure/app-service/app-service-plan-manage#move-an-app-to-another-app-service-plan I see the statement "Note that plans can’t move webspaces after they’re created, so you can’t move a plan into “the same webspace” as another plan by moving it to another resource group." This applies to me, as I first created the Web Apps in one Resource Group and then moved them to the Resource Group of the target App Service Plan, to no avail :-(
I thin it would be very helpful for the Azure Portal to display the name of the webspace in the Overview section of the Web App and App Service Plan, to explicitly call out this "hidden" but important attribute and avoid confusion, thanks.