  Misalignments within protoplanetary discs are now commonly observed, and
features such as shadows in scattered light images indicate departure from a
co-planar geometry. VLT/SPHERE observations of the disc around HD 143006 show a
large-scale asymmetry, and two narrow dark lanes which are indicative of
shadowing. ALMA observations also reveal the presence of rings and gaps in the
disc, along with a bright arc at large radii. We present new hydrodynamic
simulations of HD 143006, and show that a configuration with both a strongly
inclined binary and an outer planetary companion is the most plausible to
explain the observed morphological features. We compute synthetic observations
from our simulations, and successfully reproduce both the narrow shadows and
the brightness asymmetry seen in IR scattered light. Additionally, we reproduce
the large dust observed in the mm continuum, due to a 10 Jupiter mass planet
detected in the CO kinematics. Our simulations also show the formation of a
circumplanetary disc, which is misaligned with respect to the outer disc. The
narrow shadows cast by the inner disc and the planet-induced "kink" in the disc
kinematics are both expected to move on a time-scale of $\sim$ 5-10 years,
presenting a potentially observable test of our model. If confirmed, HD 143006
would be the first known example of a circumbinary planet on a strongly
misaligned orbit.
