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1
Dissolve the sugar fully in the water over low heat, stirring until the liquid is completely clear. Remove from heat, add the chosen flavouring — lemon juice, almond milk, cooled espresso, or macerated and strained mulberry — and stir to combine. Taste the base at room temperature: it must read as noticeably over-sweet and more intensely flavoured than seems correct, because the cold will suppress both sweetness and flavour. If it tastes balanced now, it will taste thin once frozen.
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2
Pour the base into a wide, shallow pan and place it in the freezer. After 30 minutes, draw a fork across the surface in long parallel strokes, breaking any frozen crust into coarse crystals and folding the slushed edges into the still-liquid centre. Return to the freezer. Repeat this scraping every 30 minutes for 3 to 4 hours. The granita is done when the entire mass is granular throughout — neither a smooth, homogeneous slush (that is sorbet) nor a solid, chunky block (that is a snow cone) — but a loose, coarse-crystal suspension that the fork moves through with slight resistance.
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3
For the brioche col tuppo, activate the yeast in the warm milk for five minutes, then combine with flour, sugar, eggs, and salt and work to a smooth dough. Incorporate the soft butter in stages. Prove until doubled. Shape each roll with a large base and a small topknot pressed firmly into its crown — the tuppo. Bake until the crust is deep gold and the crumb sounds hollow when tapped on the base.
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4
Serve the granita immediately from the freezer in a glass or deep bowl alongside a warm brioche col tuppo. The brioche must be warm: the temperature contrast between warm, soft, buttery bread and frozen, crystalline granita is not incidental — it is the dish. Tear the brioche, dip into the granita, and eat.