Preheat the oven to 350°F.
Heat a large nonstick skillet over medium heat. Add a splash of water and the onion and cook for 5 to 7 minutes, stirring periodically, until the onion is translucent and soft. Add more water as needed to prevent sticking.
Add the mushrooms and continue cooking for 6 to 8 minutes, or until the mushrooms have browned and most of the liquid has cooked off.
Add the garlic and cook for 1 minute, until fragrant.
Add the vegetable broth, soy milk, tamari, white miso, nutritional yeast, thyme, and black pepper.
Add the cornstarch to the skillet and stir well to thicken.
Remove the skillet from the heat. Add the green beans and rice vinegar. Gently stir until evenly coated.
Carefully transfer the mixture to a medium casserole dish. Sprinkle with sliced almonds.
Bake for 13 to 15 minutes, or until the almonds are lightly toasted and golden brown. As you approach the 15-minute mark, keep a close eye on the almonds to ensure they do not burn.