Peel the potatoes and carrots, then slice them into thin rounds. Cut the broccoli into florets, and slice the zucchini.
Bring water to a boil and cook the potatoes and carrots for 5 minutes, until slightly softened. Blanch the broccoli florets for 2-3 minutes. Drain the vegetables.
Prepare the sauce: Heat the olive oil in a skillet over medium heat, then sauté the minced garlic until fragrant. Add the plant-based cream, salt, pepper, and nutmeg. Heat through for 2-3 minutes.
Place a layer of potato and carrot slices in the bottom of a baking dish, followed by the zucchini slices and broccoli florets. Repeat layering until all the vegetables are used.
Pour the cream sauce evenly over the vegetables, then sprinkle the top with grated vegan cheese.
Bake in a preheated oven at 350°F (180°C) for 25-30 minutes, or until the top is golden brown.
Let the gratin rest for 5 minutes before serving, to make it easier to slice.
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