  We consider the generalised Calogero-Moser-Sutherland quantum integrable
system associated to the configuration of vectors $AG_2$, which is a union of
the root systems $A_2$ and $G_2$. We establish the existence of and construct a
suitably defined Baker-Akhiezer function for the system, and we show that it
satisfies bispectrality. We also find two corresponding dual difference
operators of rational Macdonald-Ruijsenaars type in an explicit form.
