Preheat your oven to 425°F for roasting the potatoes.
Cut the potatoes into bite-sized cubes, toss them with 1.5 tablespoons of olive oil, salt, pepper, and your favorite herbs (such as rosemary and thyme). Spread the potatoes on a baking sheet in a single layer.
Roast the potatoes in the oven for 25-30 minutes, stirring halfway through, until they are golden and tender.
While the potatoes roast, heat a non-stick skillet over medium-high heat and add the remaining 1 tablespoon of olive oil.
Season the tilapia fillet with salt and pepper. Once the skillet is hot, place the fillet in the pan and sear for about 3 minutes on each side until the fish is opaque and develops a nice golden crust.
In a separate small pan, gently poach or fry the egg to your liking (a runny yolk pairs wonderfully with the fish).
In the same skillet used for the fish (or a new one), add the green beans and sauté them over medium heat with a splash of olive oil, a pinch of salt, and a squeeze of lemon if desired, for about 4-5 minutes until they are crisp-tender.
Plate the seared tilapia fillet alongside a generous serving of herb-roasted potatoes and sautéed green beans. Top the fish with the cooked egg.
Serve immediately and enjoy your balanced, flavorful dinner.