Use that account to apply for remote access with a valid Brown.edu email address (this is separate from creating the account--once you have your account, login and go to "remote access" from the menu).
Download the app and log in w/ the account.
Note: If you're on the Lifespan system and you go straight to clinicalkey.com, you'll be on Lifespan's subscription, not Brown's, and their settings *may* take precedence. So it's important to access Clinical Key first via the Library.