  We report on integer and fractional quantum Hall states in a stack of two
twisted Bernal bilayer graphene sheets. By exploiting the momentum mismatch in
reciprocal space, we suppress single particle tunneling between both bilayers.
Since the bilayers are spatially separated by only 0.34 nm, the stack benefits
from strong interlayer Coulomb interactions. These interactions can cause the
formation of a Bose-Einstein condensate. Indeed, such a condensate is observed
for half filling in each bilayer sheet. However, only when the partially filled
levels have orbital index 1. It is absent for partially filled levels with
orbital index 0. This discrepancy is tentatively attributed to the role of
skyrmion/anti-skyrmion pair excitations and the dependence of the energy of
these excitations on the orbital index. The application of asymmetric top and
bottom gate voltages enables to influence the orbital nature of the electronic
states of the graphene bilayers at the chemical potential and to navigate in an
orbital mixed space. The latter hosts an even denominator fractional quantum
Hall state at total filling -3/2. Our observations suggest a unique edge
reconstruction involving both electrons and chiral p-wave composite fermions.
