I know a way to fix this, shawian.
Cookie are used by any applications when the data via internet or online. This explains why the browser settings still affects the QBO Desktop app.
To get rid of the error, we'll need to configure a few settings on your browsers. You can follow the detailed steps in this article:
Enabling 3rd Party Cookies.
The next time you access the app, it will no longer show the "Cookies Disabled" message.
Please let us know if you encounter any difficulties so we can help you more.