Prepare the Garnish: Finely dice about a quarter of the English cucumber and a quarter of each bell pepper. Combine these diced vegetables in a small bowl, cover, and refrigerate until ready to serve.
Soften and Toast: Roughly chop the remaining cucumber, bell peppers, and red onion. Tear the stale bread into small pieces and place in a bowl with 2 tablespoons of water to soften. In a dry small skillet over medium-low heat, toast the slivered almonds for 2-3 minutes, shaking the pan frequently, until fragrant and lightly golden. Remove immediately to prevent burning.
Create the Base: In the carafe of your blender, combine the roughly chopped tomatoes, red onion, and the 3 cloves of garlic. Blend on medium speed for 30 seconds to create a coarse, liquid base.
Build the Body: Add the remaining chopped cucumber, bell peppers, soaked bread (and any unabsorbed water), and the toasted almonds to the blender. Secure the lid and blend on high for 60 seconds, or until the mixture is very smooth.
Emulsify the Soup: With the blender running on medium speed, remove the lid's center cap and slowly drizzle in the 41 cup of extra virgin olive oil. This process will create a stable, creamy emulsion, giving the gazpacho a rich texture.
Season and Finish: Once all the oil is incorporated, add the sherry vinegar, sea salt, smoked paprika, and black pepper. Blend for another 20 seconds to fully combine.
Chill and Meld: Transfer the gazpacho to a large glass pitcher or non-reactive bowl. Cover tightly and chill in the refrigerator for a minimum of 4 hours, or up to 24 hours. This step is critical; it allows the flavors to meld, deepen, and for the soup to become thoroughly chilled.
Serve: Once chilled, stir the gazpacho well. Ladle into chilled bowls and garnish with a spoonful of the reserved diced vegetables, a sprinkle of fresh parsley, and a final, delicate drizzle of extra virgin olive oil.