Prepare the Cranberry Simple Syrup: Add all of the ingredients for the cranberry syrup to a saucepan and bring to a full boil. Reduce the heat to a gentle boil, simmer, and cook until cranberries have softened, about 10 minutes. Remove from heat and allow mixture to cool. Once cool enough to handle, strain the cranberry mixture through a fine mesh strainer, pressing the pulp into the strainer to maximize the amount of syrup you get out. Discard the pulp and refrigerate the syrup until ready to use.