Issue seems resolved on my end. Then again, I did uninstall the Diablo 2 beta last night. About 12 hours later, the button disappeared.
Yes! Things are back to normal with mine as well. I did not do anything except wait.
I wish all problems would go away like that. 
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Just loaded up the launcher and the extra button is gone on my end too. Resolved itself!
Excellent, glad to here it’s cleared up!