Patbingsu (Korean Shaved Ice)

Ingredients

• 400 g ice cubes ((0.9 pounds))
• 2 Tbsp sweetened red bean paste ((or more to taste))
• 2 Tbsp sweetened condensed milk ((or more to taste))
• 16 mini sweet rice cakes ((mochi))
• 80 g strawberry ((2.8 ounces), chopped)
• 45 g kiwi ((1.6 ounces), thinly sliced)
• 45 g blueberry ((1.6 ounces))
• 45 g pineapple ((1.6 ounces), chopped)