Bring 2 cups water to boiling. Meanwhile, in a regular or high-speed blender place the first four ingredients (through salt). Pulse to combine. Add the next four ingredients (through hot sauce). Add the boiling water. Cover and blend on low until combined. Increase speed to high and blend 5 minutes. Sauce will thicken as it blends. Serve immediately.
Transfer any leftovers to an airtight container. Store in the refrigerator up to 1 week. Reheat sauce in a saucepan over low, stirring in water as needed to reach desired consistency.