The authentic Latin text of the Code uses the word ITERUM which is accurately translated as “AGAIN” as in “a second time.” The authentic interpretation is that a person may receive Holy Communion TWICE if they have participated in TWO Masses on the same day. Prior to the 1983 Code, Vatican II had limited the second reception of Holy Communion to special occasions and Masses. Now, it seems, that the law allows a broader usage in that no distinction is made for the second or first Mass.
A third Mass and receiving Communion a third time on the same day appears NOT to be in conformity to the spirit of the law nor to current practice and interpretation. The fear of multiplying “Communions,” as if one could QUANTIFY grace and the infinite value of the Holy Sacrifice of the Mass, led the Church to restrict reception to twice a day.