so you say you have been playing using your iPhone already, but you are not logged in to your Account? Is that correct?
If yes, then I think you have created a new account on your phone, and you are trying to change the name on that account to match yours in the account menu in the lower right corner. This won’t work because the name you are entering already exists.
You will need to get back to the beginning page and use the “login” button instead of the “play” button, as the play button will create a new account.
Are you using the app or the browser?
With the app you will need to remove and reinstall the app on order to reach the login page
If you are using the mobile browser you will need to clear your browser cookies relating to call of war in order to eliminate the data for this new account and reach the login page.