Combine the sugar and cocoa powder in a medium pot and whisk well to combine. Whisk in the whipping cream. Cook over medium-high heat, whisking often, until it comes to a simmer.
Take the pot off the heat and add the chopped chocolate. Stir until completely melted. Stir in the milk, coffee powder, vanilla, and salt.
Chill this mixture completely for at least 6 hours or overnight.
Set the Vida™ by PADERNO Digital Stainless Steel Ice Cream Maker to the ice cream setting and press start. Pour the chilled mixture into the freezer bowl. Churn for 30 minutes or until softly frozen and fluffy.
Serve immediately or transfer to an airtight container and freeze for up to 4 weeks.