we had the same thing but with someone who was logged in with a personal account, while she had InDesign under a business account. It took me a while to get wise to it because she used the trial option first and only complained when the days were up. The trick was to log out of CC, log back in, and select the right profile, maybe you'll find that option as well?
Creative Cloud, see screenshot. Not sure what it looks like on a Windows PC but it's where you're logged in and will find your InDesign updates, and updates to other apps you might be using from Adobe (amongst other things). In your screenshot it appears to be the icon between Teams and InDesign.
Sorry to hear about your experience. We'd recommend connecting with Adobe Customer Support for account and billing related queries. Please click on the chat icon at the bottom of the page to begin the conversation. Team here will be happy to assist you.