  We show, by introducing purely auxiliary gluinos and scalars, that the
quantum path integral for a class of 3D interacting non-supersymmetric gauge
theories localises. The theories in this class all admit a `Manin gauge theory'
formulation, that we introduce; it is obtained by enhancing the gauge algebra
of the theory to a Dirac structure inside a Manin pair. This machinery allows
us to do localisation computations for every theory in this class at once,
including for 3D Yang-Mills theory, and for its Third Way deformation; the
latter calculation casts the Third Way path integral into an almost 1-loop
exact form.
