Use a food processor or hand mixer to whip the cream until it is semi-stiff. Add sugar, vanilla sugar and salt. Finally stir in the milk. Chill the ice cream mass in the refrigerator for 2-4 hours.
Prepare the ice cream machine, switch it on and pour the ice cream mass through the filling opening. Depending on the machine and the desired firmness, stir for 15-30 minutes. Gradually add the grated chocolate towards the end. Either eat the ice cream straight away or freeze it again briefly.
Because of the chocolate, the ice cream is not 100% lactose-free. However, since only 30g of chocolate is used for 2 people (amount resulted in 4 scoops), the lactose content should be very low.