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Hmm, I was about to say there's no way this passes, but I imagine a billionaire tax could pass through reconciliation right?
Though I would bet on conservative Democrats like Manchin killing it.
Edit:  I should note it'd also need to pass the Republican controlled house.  So I'm back to the first thing. This isn't gonna pass even if they try to put it to a vote.  If it gets out of the Senate, it's dying in the house.  I'd be happy to be convinced otherwise, of course.
President Joe Biden will call for quadrupling the levy on corporate stock buybacks and renew his calls for a minimum tax on billionaires during his State of the Union address Tuesday. 
“This minimum tax would make sure that the wealthiest Americans no longer pay a tax rate lower than teachers and firefighters,” the White House said in a preview Monday of the economic aspects of Biden’s speech.