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1
Combine evaporated milk, condensed milk, and heavy cream in heavy saucepan; warm over low heat to 65°C, whisking occasionally, until steaming but not boiling.
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2
Toast cinnamon, cloves, and allspice in dry skillet over medium heat for 20 seconds; add to warm milk mixture and infuse for 5 minutes off heat.
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3
Temper pasteurised egg yolks by slowly whisking 60ml of warm spiced milk into yolks, then add yolk mixture back to saucepan in thin stream while whisking constantly.
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4
Strain through fine sieve into clean container, pressing spices gently; discard solids and cool mixture to room temperature, 15 minutes.
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5
Stir in rum, vanilla extract, nutmeg, and salt; whisk thoroughly until fully emulsified and combined, approximately 1 minute.
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6
Serve in chilled glasses over ice or at room temperature; stir before each serving as ingredients may settle during storage.