Once it shows as published in the IDE, then in the Classic App you need to add it. Go to Automation, scroll down to “+ Add a SmartApp”, and scroll down to “My Apps” until you find.
Update: sorry - I missed your last post that said it wasn’t in “My Apps”.
If you followed the wiki instructions linked in the OP, it directs you to login to the IDE at “graph.api.smartthings.com”, which are very old instructions that are not correct for everyone. The correct worldwide URL for the IDE is https://account.smartthings.com/. If you go there and end up at a different URL (not just “graph.api”), then you’ll need to re-install the SmartApp in the correct IDE.
Update2: I just updated the wiki instructions.