I have a new MacBook Pro running Catalina. For some reason, I cannot add any Adobe apps to the dock at the bottom. I have tried dragging and dropping and it won't let me, but other programs (i.e. Microsoft Word) add perfectly.
This is happening with my new iMac. When I first downloaded a bunch of CC apps, they did appear on the right side of the Dock -- to the right of a sort of vertical dividing line, an area which, apparently, is associated with Downloads. But the icons refused to move to the main Dock, and now in fact I've lost a couple of them from the right side. Not the usual tidy plug-and-play behaviour we've come to expect from Apple & Adobe.
George, are you able to use the steps listed in https://helpx.adobe.com/creative-cloud/help/launch-creative-cloud-apps.html to open the apps? If so, then you can choose to keep the open app in the dock. In the Dock, the left side of the divider is only used for documents and folders, so I am unsure what you are attempting to drag to that location. By default, Adobe applications are installed in the Applications folder.