STEP 1
Make the brava sauce: Purée tomatoes, 1 tbsp. oil, wine, paprika, sugar, and chile in a blender. Season with salt, transfer to a bowl, and set aside. Make the allioli: Vigorously whisk egg yolk and garlic. While whisking, add 1 tbsp. oil in a thin stream until mixture thickens. Continue whisking, adding 7 tbsp. oil in a thin stream. Add lemon juice and milk, and season with salt; chill.
STEP 2
Pour oil into a 5-qt. pot to a depth of 1 1⁄2"; heat over medium heat until a deep-fry thermometer reads 220°. Meanwhile, halve potatoes crosswise. Using a small knife, shape each potato half into a 1 3⁄4" x 1" football shape. Transfer potatoes to oil and cook, turning occasionally, until tender and pale golden, 15–20 minutes. Using a slotted spoon, transfer potatoes to paper towels; chill. Remove pot from heat; reserve.
STEP 3
Heat the reserved oil over medium-high heat until a deep-fry thermometer reads 350°. Add potatoes; cook until golden brown, 3–5 minutes. Transfer to paper towels; season with salt. Serve potatoes with the reserved brava sauce and allioli. |