If I understand your question right, you have a JB, and the FSB controller? If so, the only AEM pieces you want to incorporate is the tank, pump, and Solenoid???
Most solenoids operate off ground, if the AEM one does than you are GTG. Below is the link for installation for your Mini. Just wire one to the FSB and the other to a ground. Worst case is you will have to purchase a BMS solenoid, everything else should work fine.
https://burgertuning.com/collections...injection-kits
--------------------
Darrin S.
2019 AWD GT2, JB4, Meth, MBRP, Agency intakes, Agency FMIC, HKS Plugs 11.70 @ 118.98 mph