All we use But
弄咖啡 is not a clear meaning,it’s a general,vague unprofessional meaning.In another word,We don’t know someone how to make a coffee,maybe it’s powder or instant coffee by pouring you know,and maybe it’s made of coffee bean by some complex difficult ways.
冲咖啡 is pouring sth,just the first way in above. The picture 1,2
做咖啡 actually also a general meaning,But! It absolutely tends to be the second way making coffee in above.Making coffee with a authentic,complex way. And we finally get a tasty authentic coffee .Picture 3,4