Heat milk and cream on the stove or in the microwave until scalding.

Boil water in a saucepan.

Add sugar and salt to the boiling water and stir until sugar melts completely.

Add unsweetened chocolate to the water and stir until the chocolate is completely melted and smooth.

Once the mixture is well blended, let it simmer for 5 minutes to deepen the chocolate flavor.

Add the scalded milk and cream mixture to the chocolate mixture.

Stir in the strong hot coffee and vanilla extract.

Beat the mixture vigorously with an egg beater until it becomes frothy.

Pour into mugs and serve immediately.