In a large saucepan, bring the water and 3 tablespoons of salt to a boil. Add the carrots and boil for about 6 minutes, until cooked through.
Line a plate or sheet pan with paper towels. Drain the carrots and then place them in a bowl of ice water to shock for 2 minutes. Transfer the carrots to the prepared plate to dry.
Once the carrots are completely dry, transfer them to a medium bowl along with the pepper, cumin, champagne and golden vinegars, olive oil, orange blossom oil, garlic, and the remaining salt and toss to coat.
In a separate bowl, add the garlic and lemon juice. Let sit for a few minutes to marinate. Then add salt, lemon zest and yogurt and stir to thoroughly combine.
Spoon the yogurt onto one side of a plate or shallow bowl and place the carrots alongside. Garnish with dukkah, radish, and dill. Serve immediately.