In a saucepan, bring cranberries, sugar, water and mint to a simmer over medium-high heat. Once the mixture simmers, turn the heat down but continue to simmer for another 10 minutes. Stir every so often to help dissolve the sugar. After 10 minutes, turn off the heat and allow the mixture to steep for another 10 minutes. Refrigerate until chilled. Once the mint-cranberry simple syrup chills, pour 1 ounce of the syrup into a champagne flute. Add the Chambord to the flute.