So, I'm familiar with https://appstore.rws.com/plugin/179/. However, based off the error message in the stack trace, the API key you entered into the field isn't authorized. What I don't know is what endpoint that plugin is actually using. In this case, you'll need to contact their support, https://community.rws.com/product-groups/trados-portfolio/rws-appstore/f/rws-appstore.
If you can successfully run and execute Quickstart: Azure AI Translator REST APIs - Azure AI services | Microsoft Learn, then that will confirm the issue is indeed with the plugin.