I thought adding milk to your coffee was because primative coffee drinkers did not know how to properly roast and brew the beans, causing an exceptionally acidic taste. The pH properties of milk (high base) helped to neutralize it.
you got it all wrong squeak
you put milk in the coffee to allow you to drink it before Davening
coffee is koof, vav, heh
milk, chalev is the gematria of 40 or mem
if you put the chalev, 40, mem into the kaveh you get Mikvah
and as all Chasidim know the Mikveh is mutar before davening