  We advance a construction for the balanced partial entanglement entropy (BPE)
for bipartite mixed states in a class of $(1+1)$-dimensional Galilean conformal
field theories dual to Einstein gravity and topologically massive gravity in
asymptotically flat spacetimes. We compare our results with the entanglement
wedge cross section (EWCS) in the dual geometries and find exact agreement.
Furthermore, utilizing a geometric picture, we demonstrate the holographic
duality between the EWCS and the BPE in the context of flat holography.
