  In this paper, we compute the WQFT partition function, specifically the
eikonal phase in a black hole scattering event in the dynamical Chern-Simons
theory, using the techniques of spinning worldline quantum field theory. We
consider the scattering of spinning black holes and highlight the necessary
details for the calculation of the partition function. We present the
$\epsilon$-expansion of the essential two-loop integrals using
Integration-by-Parts (IBP) reduction and differential equation techniques,
which we then utilize to compute the linear-in-order spin eikonal phase up to
3PM. Additionally, we discuss the dependence of the phase on the spin
orientations of the black holes.
