Preheat oven to 400ºF.
Melt 2 tablespoons of the butter and brush it on both cut sides of each slice of French bread. Arrange the bread slices on a baking sheet and bake for 5 minutes, then flip them and bake an additional 3 to 5 minutes until toasted. Remove the bread from the oven and set it aside.
In a medium bowl, whisk together the eggs, milk, chives and pepper.
Heat a medium nonstick sauté pan over medium-low heat. Add the remaining 1 tablespoon of the butter to the pan, and once it has melted, pour in the eggs. Cook the eggs, stirring as needed, until they’re scrambled to your desired consistency.
Spread a portion of the mashed avocado on one side of each slice of toasted bread. Top the avocado with the scrambled eggs and garnish with the diced tomatoes.
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