Finely chop the KitKat bars using a food processor or by crushing them in a bag with a rolling pin.
In a medium bowl, combine the heavy cream, sweetened condensed milk, and vanilla extract until smooth.
Stir in 80% of the crushed KitKat pieces, gently mixing until evenly distributed throughout the ice cream base.
Pour the mixture into ice cream molds and insert popsicle sticks. Freeze for at least 4-5 hours, or until solid.
Melt the milk chocolate in a double boiler or in the microwave. Stir in the sunflower oil to make it smoother.
Dip the frozen ice cream bars into the melted chocolate, then sprinkle with the remaining KitKat crumbs for extra crunch.
Place the chocolate-covered ice cream bars on parchment paper and return them to the freezer for another 30 minutes to allow the chocolate to harden completely.
Before serving, let the ice cream bars sit at room temperature for 2-3 minutes to soften slightly and make them easier to bite into.
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