Comment to Loophole in privacy
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It's not a button really, but when someone that is NOT logged in, but click on the login link, it then takes you to a page that allows you to login, but at the top there is now a menu button at the top left, which then allows access to site, without being logged in. There is ways to block that from happening though by reading from previous comments made earlier in this discussion. I'm still working on this myself.