Tabs on a Hamburger Menu?

Is it a problem to have a couple of tabs on a hamburger menu?

I would like to have two tabs on my mobile hamburger menu, where the default tabs in a more streamlined list of website sections (e.g. Headlines, Business, Technology, Politics, Entertainment), and then the 2nd tab would be a much more detailed listing of everything on my website. (The NYT or WSJ seems to do this, but what do the UI-gods say?)
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