Where does “машинерија//mašinerija” come from?

машинерија//mašinerija (Serbo-Croatian) comes from French machinerie, from French machine, from Middle French machine, from Latin māchina, from Ancient Greek μαχανά, from Ancient Greek μηχανή, from Ancient Greek μῆχος, from Proto-Indo-European meǵʰ- — to be able.

Ancestry of “машинерија//mašinerija”, step by step

Step	Language	Word	Meaning
1	French	machinerie	machinery, plant; engine room
2	French	machine	machine, device; machine
3	Middle French	machine	machine; device
4	Latin	māchina	contrivance
5	Ancient Greek	μαχανά	Doric form of μηχᾰνή
6	Ancient Greek	μηχανή	contrivance, machine, device, gear; way, means
7	Ancient Greek	μῆχος	means, expedient, remedy
8	Proto-Indo-European	meǵʰ-	to be able

Every word from Proto-Indo-European meǵʰ- →Every word from Ancient Greek μῆχος →Every word from Ancient Greek μηχανή →