Aside from disabling notifications to your phone entirely through your Notification Settings in your Profile Settings I'm not aware of a way to do that, it sounds like a concurrency problem to be honest.
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I guess this is more of a suggestion for later updates. I figured there wasn't anything I could do about it right now. Thank you for the response though.
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No problem, I'm not sure how likely it is that the webteam will see this with all the Beta questions going on at the moment but if you tag your post with #BnetFeedback and #Feedback it might help :)
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Roger that. Thanks for the help!