I love the new banner...
Well, I did. I once 'tested' the close button on the banner and now I can't open a question in the app any more.
Where is it? How to open a question in the app again?
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This is as intended - once you've said you don't want to see it, you won't see it again.
I presume 'Clear history and website settings' in Settings > Safari would reset it, but I haven't tried.
Source: Release post
If you hit the × the banner goes away forever. We store this in localStorage so if you clear your browser's memory we'll lose the setting, but for most people tapping it will mean never seeing the banner again.