Preheat the oven to 450F. Grease a 9x13-inch baking dish non-stick spray. Evenly spread 4 cups of the frozen hashbrowns, drizzle with 2 tablespoons oil and bake for 30 minutes.
Allow the hashbrowns to cool for about 15 minutes while you add the remaining 1 tablespoon oil in a large skillet over medium-high heat to cook the onion, red and green peppers. Stirring periodically.
Add in the corned beef and cook for a couple minutes.
In a large bowl whisk 8 eggs, 1 ½ cups whole milk, 1 teaspoon dry mustard.
Sprinkle ½ cup of the cheese over the potatoes in the casserole dish, then evenly distribute the vegetables overtop.
Pour egg mixture over, sprinkle 1 ½ cups cheese, then add the remaining 3 cups of frozen hashbrowns.
Cover with foil, bake for 30 minutes then remove foil and bake for 30 more.
Change your oven setting to broil (no need to change the grill placement) and sprinkle with the last cup of cheese and place back in the oven uncovered for about 5 minutes until the hashbrowns are golden and the cheese is melted.
Remove from the oven and allow it to sit for about 15 minutes before serving.