Aamodt Litigation Settlement Completion Act of 2019 This bill ratifies an agreement relating to the settlement of the Aamodt litigation, which resolved claims concerning Pueblo water resources. The bill also reauthorizes through FY2028 activities to construct a regional water system as part of the settlement. Specifically, the bill ratifies an agreement between the United States, New Mexico, the city of Santa Fe, and the Pueblos of Nambe, Pojoaque, San Ildefonso, and Tesuque relating to the litigation. (This agreement is in addition to previously ratified agreements settling the litigation.)