Local Creative Cloud App Doesn't Think I Have An Account

Try the steps mentioned in the following link
https://helpx.adobe.com/hk_en/manage-account/kb/stop-creative-cloud-trial-mode-after-purchase.html

If no advice given so far works then the last resort would be to contact support.

To contact support follow the instructions given below
1. Go to https://helpx.adobe.com/contact.html?rghtup=autoOpen
2. Wait a bit on the page that opens up, it should automatically open a chat popup. If that does not happen then look for a call out/chat icon at the bottom right, click over it and the chat popup should open
3. In order to talk to a human type "AGENT" in the chat box
4. If you are not able to get to the chat window, then disable your adblockers, firewall, enable cookies/scripts on your browser. If it still fails then change your browser/machine/network.

P.S. Be mindful of answering anyone who sends you a private message. See the following for more information about scammers
https://tinyurl.com/y7cfrr7y
-Manan

check your account to verify your subscription is what you expect and to verify your adobe id, https://accounts.adobe.com

if your account shows an active subscription, sign out of the cc app and then sign back in using the same id used ro confirm your subscription.