Melt the dark chocolate over a double boiler or on low heat in a small saucepan, then let it cool to room temperature.
In a bowl, combine the cooled chocolate with the sweetened condensed milk, powdered sugar, vanilla extract, and a pinch of sea salt.
Add the rum and mix well until the flavors are fully combined.
In a large bowl, whip the heavy cream until soft peaks form. Be careful not to overwhip; you want a medium-soft consistency.
Gently fold the whipped cream into the chocolate-rum mixture until evenly combined and you have a creamy texture.
Pour the mixture into an airtight container and place it in the freezer for at least 4-6 hours, or until completely frozen.
Before serving, let the ice cream stand at room temperature for 5 minutes to make it easier to scoop.
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