  Using the spinning, supersymmetric Worldline Quantum Field Theory formalism
we compute the momentum impulse and spin kick from a scattering of two spinning
black holes or neutron stars up to quadratic order in spin at third
post-Minkowskian (PM) order, including radiation-reaction effects and with
arbitrarily mis-aligned spin directions. Parts of these observables, both
conservative and radiative, are also inferred from lower-PM scattering data by
extending Bini and Damour's linear response formula to include mis-aligned
spins. By solving Hamilton's equations of motion we also use a conservative
scattering angle to infer a complete 3PM two-body Hamiltonian including
finite-size corrections and mis-aligned spin-spin interactions. Finally, we
describe mappings to the bound two-body dynamics for aligned spin vectors:
including a numerical plot of the binding energy for circular orbits compared
with numerical relativity, analytic confirmation of the NNLO PN binding energy
and the energy loss over successive orbits.
