MILK OR COFFEE FIRST ?

abbi Levi Yitzchak once visited the Chozeh of Lublin. The Lubliner brought him some coffee and wanted to pour the coffee into the cup first and then add the milk. The Berditchever, however, asked him to please put the milk in first, and then the coffee, since, he said, “when I drink milk with coffee, I intend “mikveh,” because milk, chalav, in gematria is mem and the letter mem together with kiveh (coffee) equals mikveh. When the Berditchever drank coffee, was he meditating on the mikveh somehow?