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Whisk the egg yolks and sugar with an electric whisk for 10 mins until pale and thick. Break up the Christmas pudding with a fork and stir it into the egg mixture so it is evenly distributed, then pour in the brandy and mix again.
In a separate bowl, whip the cream until it holds soft peaks, then fold it into the mixture with a large metal spoon. Pour into a freezer-proof container, cover well and freeze for several hours until set.