Soak the raisins in the white rum in a small bowl and let them stand for at least 30 minutes, allowing them to fully absorb the alcohol.
In a medium saucepan, combine the milk, heavy cream, sweetened condensed milk, sugar, and a pinch of salt. Heat over low heat, stirring until the sugar is completely dissolved.
Stir in the vanilla extract, then remove from the heat and let cool to room temperature.
Pour the mixture into an ice cream maker and process according to the manufacturer's instructions until you reach a creamy consistency.
If you don't have an ice cream maker, pour the mixture into a shallow dish and place it in the freezer. Stir every 30 minutes to prevent ice crystals from forming.
When the ice cream starts to solidify, add the rum-soaked raisins and mix evenly.
Let the ice cream freeze completely in the freezer (about 4-5 hours), then serve.
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