Rinse the rice under cold water until the water runs mostly clear. This removes excess surface starch so the cooked grains stay separate instead of clumping into a gummy mass.

Par-cook the potatoes: place the cut potato wedges in a pot, cover with cold salted water, bring to a simmer and cook 6–7 minutes until just tender but still holding shape. Drain and let steam-dry for a minute. Par-cooking shortens roasting time and ensures a tender interior while allowing you to get a crisp exterior during the final roast.

Preheat the oven to 425°F (220°C). Toss the drained potato wedges with 1 tbsp olive oil, 1/2 tsp salt, 1/4 tsp black pepper and 1/2 tsp smoked paprika. Spread in a single layer on a rimmed baking sheet and roast 20–25 minutes, flipping halfway, until deeply golden and crisp. High heat helps the outside caramelize quickly while preserving a creamy interior.

While potatoes roast, heat 2 tbsp olive oil in a wide, heavy-bottomed skillet over medium heat. Add the sliced onions and a pinch of salt; cook slowly, stirring occasionally, until they turn deep golden and soft, about 12–15 minutes. Slow-cooking (confit-style) draws out sugars and develops a rich sweetness that becomes the flavor backbone of the pilaf.

Add the carrot rounds to the skillet with the onions, stir to coat, and cook another 6–8 minutes until the carrots begin to soften and brown at the edges. Browning (Maillard reaction) adds savory depth and counterbalances the natural sweetness of the carrots and onions.

Push the vegetables to one side of the skillet. Add the butter to the cleared space; once melted, add the minced garlic and stir 30–45 seconds until fragrant (do not let it burn). Toast the smoked paprika and cumin in the butter for 20 seconds to bloom the spices—this releases their essential oils and intensifies aroma.

Add the rinsed rice to the skillet and stir to coat evenly with the butter, oil, vegetables and spices. Toast the rice for 2–3 minutes, stirring, until some grains become pale-golden—this nutty step gives the pilaf a deeper, more complex flavor and helps keep grains separate after cooking.

Pour in 3 cups hot vegetable broth (or water) and add the thyme, remaining 1 tsp salt and remaining 1/4 tsp black pepper. Bring to a gentle boil, then reduce heat to low, cover tightly, and simmer undisturbed for 15 minutes (do not lift the lid). The sealed environment steams the rice evenly; lifting the lid releases steam and disturbs even cooking.

After 15 minutes, remove from heat and let the pilaf rest, covered, for 8–10 minutes. Resting allows residual steam to finish cooking the rice and makes it fluffier. Meanwhile, finish the potatoes: if they need more color, return them to the oven for another 3–5 minutes.

Uncover the rice and gently fluff with a fork to separate grains. Stir in the lemon juice (if using) and half the chopped parsley. Taste and adjust seasoning with salt and pepper. The lemon brightens the rich pilaf while parsley adds fresh herbaceous notes.

Make the garlic-butter drizzle: melt 1 tbsp butter in a small pan, add 1 clove minced garlic and cook 20–30 seconds until fragrant, remove from heat, and whisk in a drizzle of olive oil (about 1 tsp) and a pinch of smoked paprika. This glossy drizzle adds shine and a concentrated garlic note—apply sparingly to avoid overpowering the delicate pilaf.

To serve: mound the pilaf on warm plates, arrange the crispy potato wedges around or on top, spoon the garlic-butter drizzle over the potatoes, and scatter the remaining parsley and a pinch of red pepper flakes for heat if desired. The contrast of soft, aromatic rice with crisp, herb-roasted potatoes creates a satisfying interplay of textures and flavors.