The Mini Cooper R56 in normal aspirated form comes is equipped with the same engine between 75,90 and 120ps versions. Only change is the ecu software.
Doing a stage1 remap on either of these engine will result in the same result.

Measured 78ps / 127Nm
Stage1 129ps / 157Nm

Mini Cooper ONE R56 1.6L 75ps Stage1 remapped to 129ps