Stacking software can (and do) adjust and realign the framing (X-Y axes). It usually can deal with rotational skew as well. However, it cannot create detail if there is insufficient overlap, or no overlap, along the Z-axis. You might be surprised how easy it is to make "gaps" in the sequence if the movement is done manually.
The Nikon power brick can couple to a raft of cameras such as V1, Df, AW1, J-series, coolpix (not certain which models), most Dxxx models, D3200/5300, Z5/6/7 (mk1 and mk.2). You need a dummy battery insert specific for the various models, but not sure if one exists for the Z50. Probably easy to 3D design and print using a real Z50 battery as model.