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Place the ground spiced coffee into a coffee maker, add 4 cups cold water and brew according to the manufacturer's directions. Transfer the brewed coffee to a small saucepan, add the granulated sugar and cook over low heat until the sugar is completely dissolved. Stir in the sambuca.
Pour the mixture into a 9-by-13-inch metal or glass baking dish. Freeze until ice crystals begin to form around the edges, 3 to 4 hours, depending on how cold your freezer is. Using a fork, stir the mixture well and return to the freezer. Continue freezing, stirring and scraping every 30 minutes, until the mixture is thoroughly frozen and the crystals are fluffy, another 3 to 4 hours.
For the orange water cream: Combine the cream, confectioners' sugar, orange flower water, orange zest and vanilla extract in the chilled bowl of a stand mixer fitted with the whisk attachment. Mix until soft peaks form.