Awaken the Aromatics : Place the raw almonds and whole garlic cloves into a small, dry skillet over medium-low heat. Toast for 3-5 minutes, shaking the pan frequently, until the almonds are fragrant and have faint golden-brown spots and the garlic has softened slightly. Immediately remove from heat to prevent scorching.
Hydrate the Umami Base : Place the single sun-dried tomato in a small bowl and cover with 2-3 tablespoons of very hot water. Let it sit for 5 minutes to soften and rehydrate. Drain and discard the water.
Build the Foundation : In the canister of your high-speed blender, combine the patted-dry roasted red peppers, rinsed chickpeas, the rehydrated sun-dried tomato, sherry vinegar, and the toasted garlic cloves. Blend on a medium setting for 30 seconds to form a coarse, uniform purée.
Create the Emulsion : Add the toasted almonds to the blender. Secure the lid and begin blending on medium-high speed. While the blender is running, remove the lid's center cap and slowly drizzle in the 3 tablespoons of extra virgin olive oil. The mixture will lighten in color and become significantly creamier as it emulsifies.
Final Seasoning and Balancing : Turn the blender off. Add the smoked paprika, ¼ teaspoon sea salt, and fresh lemon juice. Blend for another 15-20 seconds to fully incorporate. Taste and add a few grinds of black pepper.
Adjust and Rest : Check the consistency. If the dip is thicker than you'd like, add the cool water, one tablespoon at a time, with the blender on low until you reach your desired smoothness. Transfer the dip to a bowl and let it rest for at least 15 minutes before serving to allow the flavors to meld.