solar system - Would the existence of Planet Nine rule out the possibility of a sixth giant planet?

I'm aware that there have been attempts to simulate the evolution of the Solar System with six giant planets¹, as opposed to the traditional four or five. The recent proposed Planet Nine would probably invalidate some of those models, although I don't know how drastic its effects would be.

Would Planet Nine fit into models with six giant planets? Have any simulations been done that support such a scenario?

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^{1 The models I'm most familiar with were created by Nesvorny & Morbidelli (2012).}