Heat butter over medium heat and add the diced bacon. Cook for 3-4 minutes until rendered.
While the bacon cooks, whisk together the flour and milk in a bowl until smooth.
Gradually add the eggs to the flour-milk mixture while whisking.
Season the egg mixture with salt and pepper.
Pour the egg mixture into the pan with the bacon and stir constantly over medium heat for 5-6 minutes until the eggs reach 71°C / 160°F and are cooked through.