- Preheat the oven to 400 degrees.
- Add the flour and salt to a mixing bowl and stir to combine. Using your fingers or a pastry cutter, cut the butter into the flour until the mixture resembles oatmeal. Add the garlic achaar and lightly mix.
- Slowly add the ice water 1 tablespoon at a time. It's ok if there is still a bit of unmixed flour, form the dough into a ball and wrap in plastic. Let the dough rest in the refrigerator for at least 30 minutes up to 2 days.
- Lightly flour a work surface and roll the dough out, about 1/8 inch thick. Transfer the dough to a 9 ½ inch -10-inch tart pan with a removable bottom. Press the dough into the baking dish, fold the edges.
- Line the tart pan with parchment paper and fill with pie weights or dry beans and blind bake for 15-17 minutes. Remove from the oven and remove the beans and parchment. Let cool while you make the filling.
- Add the dried mushrooms to a bowl and cover with boiling water. Let the mushrooms soak for 30 minutes, drain and roughly chop.
- In a small skillet over medium-low heat add 1 tablespoon of butter and the thinly sliced leeks. Cook for 2-3 minutes until softened and add the rehydrated mushrooms and cook for another minute.
- Add half the goat cheese, heavy cream, umami powder, garlic powder, black pepper and salt to the leeks and mushrooms. Combine using a rubber spatula and cook for 3-5 minutes until the mixture has slightly reduced and the flavors have melded. Remove from heat and cool.
- In a separate mixing bowl, whisk together the remaining goat cheese and ajvar.
- Add the mushroom mixture to the cooled tart shell and smooth with a spatula. Repeat with the ajvar mixture and smooth the top. Add the tart to the 400 degree oven.
- Once the tart is in the oven reduce the heat to 375 and bake for 20-25 minutes or until set and lightly browned on top.