Due to a recent Chrome update, when logging into google through an external application, the latest version of Chrome has to be used; otherwise the following popup appears when trying to sign in:

The odd thing is that this only applies to older accounts. For example, the account I made last week does not go through this screen when logging in. Also, I am pretty sure it's the chrome version because the sign in link works for all my accounts on my actual web browser outside the game.