Add 1 cup of glutinous rice flour, ½ cup of rice flour, and ½ cup cold milk (can also use soy milk, oat milk, or water) in a large bowl. You can also add ½ cup powdered sugar if you want to skip the tanghulu coating. Since the crunchy sugar coating is sweet enough, I would skip the sugar in my dango dough. Use clean hands to combine all the ingredients and knead them into a smooth dough. (Add 1 to 3 extra tbsps of milk/water if the dough feels too dry or fall apart.)
Take a small piece (about ⅛) of the dough, add ¼ tsp of black food coloring (*see note 1) to the small dough. Knead the dough until the color is evenly distributed.
Divide the white dough into about 11 equal pieces, roll into round balls. Each dango ball should weigh about 30g. Use the black dough to make eyes, ears, and noses, stick them to the white balls to make puppy dangos,
Bring a pot of water to a boil, reduce heat to medium low. Simmer the dangos for about 15 minutes or until floating.
Use a slotted spoon to transfer the cooked tricolor dango balls to a large bowl filled with ice water.
Add 2 cups of granulated sugar and 1 cup of cold water to a heavy bottom saucepan, turn on medium heat, stir occasionally until the sugar has dissolved. Stop stirring once the sugar has dissolved.
Wash and thoroughly dry the strawberries, cut each strawberries vertically into 3 pieces. Insert cooled dango balls and strawberry pieces onto a bamboo skewer in the order of: bottom part of a strawberry, dango, middle part of a strawberry, dango, and top part of a strawberry.
Continue boiling the mixture over medium heat for about 20 minutes until the mixture has thickened and turned slightly yellow. The syrup should reach a temperature of about 150 °C (302°F) on a candy thermometer.(*See Note 2 if you don't have a thermometer.) Holding the skewered strawberries and dangos by the sticks, dip into the syrup, swirling it around to coat it evenly. Hold the dango tanghulu over the saucepan for a few seconds to allow any excess syrup to drip off.
Place the dango tanghulu on a parchment-lined baking sheet to cool and harden for about 5-10 minutes.
Enjoy immediately once the tanghulu has hardened.