  Ex-so-tic van der Waals heterostructures take advantage of the electrically
tunable layer polarization to swap proximity exchange and spin-orbit coupling
in the electronically active region. Perhaps the simplest example is Bernal
bilayer graphene (BBG) encapsulated by a layered magnet from one side and a
strong spin-orbit material from the other. Taking WS$_2$/BBG/Cr$_2$Ge$_2$Te$_6$
as a representative ex-so-tronic device, we employ realistic \emph{ab
initio}-inspired Hamiltonians and effective electron-electron interactions to
investigate the emergence of correlated phases within the random phase
approximation. We find that for a given doping level, exchange and spin-orbit
coupling induced Stoner and intervalley coherence instabilities can be swapped,
allowing to explore the full spectrum of correlated phases within a single
device.
