Cook the rice according to package directions; set aside to cool slightly.
Preheat the oven to 400°F (200°C).
In a large mixing bowl, whisk together the almond milk, eggs, avocado oil mayonnaise, sea salt (if using), and stone ground mustard until smooth.
Stir in 2 cups of the mozzarella until incorporated, then fold in the drained tuna and the cooked rice until evenly combined.
Transfer the mixture to a 9-inch square baking dish and smooth the top. Sprinkle the remaining 1 cup mozzarella evenly over the casserole.
Bake on the center rack for 20–30 minutes, until the cheese is melted, golden in spots, and the center reaches 160°F (71°C).
Remove from the oven and let rest 5–10 minutes before serving.