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In a 2 quart pot, whisk the eggs until creamy.
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Add the sugar and whisk again.
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Pour in 4 cups of the milk, whisk again.
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Add the corn starch and nutmeg, whisk again.
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Cook over medium heat until it just begins to steam and simmer (About 10 minutes).
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DO NOT stop whisking.
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Remove from heat.
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Whisk in remaining milk and vanilla.
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Refrigerate for about 6 hours to thicken.
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Add more corn starch in step 4 if you prefer a thicker beverage.