  We discuss general momentum-dependent field redefinitions in the context of
quantum-gravitational scattering amplitudes in general, and Asymptotic Safety
in particular. Implementing such redefinitions at the lowest curvature order,
we can bring the graviton propagator into tree-level form, avoiding issues of
fiducial ghost poles and their associated violations of unitarity. We compute
the beta function for Newton's constant, and find an asymptotically safe fixed
point whose critical exponent changes by $0.4\%$ compared to not resolving the
momentum-dependent field redefinition. This provides a strong indication that
this fixed point does not feature extra degrees of freedom related to ghostly
modes, and has a good chance of being related to a unitary theory.
