In a small pot, warm the vegetable broth over low heat.
In a large skillet, warm 2 teaspoons olive oil over medium-high heat. Sauté the mushrooms, shallots, and half the garlic until tender, about 3 minutes. Add the asparagus and ¼ teaspoon salt. Sauté until stalks are just tender, but slightly crunchy, about 3 minutes. Add the brandy and cook for 5 to 10 seconds until evaporated. Transfer vegetables to a plate and set aside.
Wipe skillet with a paper towel and add the rice. Shaking the pan frequently, toast over medium heat until rice is lightly browned, about 3 minutes. Reduce heat to medium-low. Add the remaining chopped garlic, ½ cup of the warm broth, and slowly cook, stirring continuously, until liquid is completely absorbed. Continue adding and cooking the broth ½ cup at a time; this will take about 25 minutes total.
Remove skillet from heat and stir in the coconut milk, nutritional yeast, and sautéed vegetables. Serve immediately.