  Weinberg's asymptotic safety scenario provides an elegant mechanism to
construct a quantum theory of gravity within the framework of quantum field
theory based on a non-Gau{\ss}ian fixed point of the renormalization group
flow. In this work we report novel evidence for the validity of this scenario,
using functional renormalization group techniques to determine the
renormalization group flow of the Einstein-Hilbert action supplemented by the
two-loop counterterm found by Goroff and Sagnotti. The resulting system of beta
functions comprises three scale-dependent coupling constants and exhibits a
non-Gau{\ss}ian fixed point which constitutes the natural extension of the one
found at the level of the Einstein-Hilbert action. The fixed point exhibits two
ultraviolet attractive and one repulsive direction supporting a low-dimensional
UV-critical hypersurface. Our result vanquishes the longstanding criticism that
asymptotic safety will not survive once a "proper perturbative counterterm" is
included in the projection space.
