Place the broccoli florets in a medium saucepan. Pour boiling water over them and cover. Cook over high heat until the water reaches the boiling point; Remove immediately from the heat and set aside, still covered. This way, we will keep the fresh-green color of the broccoli.
Place the potatoes in another saucepan. Put the bay leaf and allspice balls in a small cotton bag, close the bag and add it to the pot; add one teaspoon of salt, cover the potatoes with water, cover the pot and bring to a boil. Lower to medium-low heat and cook until the potatoes are tender. While the potatoes are cooking, make the kebab.
Once the potatoes have softened, remove the bag with the spices, strain the potatoes and save about a quarter cup of the cooking water. Next, put the boiled potatoes in a food processor, drain the broccoli and add to the food processor as well; add 1-2 tablespoons of the potato water, and process into a puree. If the puree is too thick/dense, add water, gradually, until you get the desired consistency.
Transfer to a bowl, add olive oil, nutritional yeast, and spices, and mix well. Taste and adjust seasoning if necessary.