Actually, its a CHRYSLER engine, same one used in Export Neons.
It was designed by Chrysler and has nothing to do with Daimler in any way.
BMW commissioned the design by Chrysler (chrysler UK I think) and all BMW did was and some covers with BMW on them.
BMW would never have its arch rival Daimler design any engine for them.
So tell your Mini dealer that it is a 99% Chrylser Engine.