Wash and slice ginger with peel on. Put the ginger in a mortar and use a pestle to squeeze out the juice. Add the sugar.
Slice lemon peel and add to the ginger mixture. Squeeze until all the juice has come out.
Add lemon juice and mineral water. Refrigerate for about 1 hour. Sieve the mixture through a fine-mesh sieve.
Add ice to the glasses and pour over the ginger beer. Garnish with mint and sliced ginger.
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