In a large mixing bowl, combine the shredded green cabbage, red cabbage, and carrot. If using peanuts or sesame seeds, reserve them for topping later. Set aside while you prepare the dressing.
In a small mixing bowl, whisk together the tahini or peanut butter, soy sauce, rice vinegar, honey, ginger, and garlic until smooth. Gradually add warm water, one tablespoon at a time, until the dressing reaches a pourable consistency. Taste and adjust seasonings—add more honey for sweetness, soy sauce for saltiness, or red pepper flakes for heat.
