At least 24 hours prior to kickoff, fill a plastic container (1-pint or 1-quart, depending on the size of your punch bowl) with water and add apple slices and cinnamon sticks if desired.
Freeze until solid.
Combine the tea and vermouth in a jar or other container and let stand for 90 minutes.
Strain, and refrigerate. On game day, combine the tea-infused vermouth and the remaining ingredients in a punch bowl, adding the soda last.
Carefully add the prepared ice block and garnish lavishly with apple slices and freshly grated cinnamon and nutmeg.