Preheat your oven to 375°F and line a small baking dish with parchment paper.
In a small skillet, sauté the finely chopped mushrooms, onion, and garlic until the moisture has evaporated and they are fragrant.
In a medium bowl, combine the ground veal, egg, sautéed vegetable mixture, coconut aminos, mustard, thyme, salt, and pepper.
Gently mix the ingredients by hand until just combined, being careful not to overwork the meat.
Shape the mixture into a uniform loaf on the prepared baking dish and bake for 25 to 30 minutes until the internal temperature reaches 160°F.
While the meatloaf rests, steam the green beans until they are bright green and tender, then serve alongside the sliced loaf.