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I think the the law of excluded middle is more a property or constraint of existence, rather than a cause. Since we can treat universe as being something as a given, the reason it can't be something else is because the law of excluded middle constrains it to be what it is.

What do you think of: it’s the fact that the law of the excluded middle that causesconstrains the universe to exist. Nothing can’t exist, so the only alternative that’s left is for something to exist.