In a large mixing bowl, combine minced garlic, chopped chili peppers, fish sauce, lime juice, and palm sugar. Stir until the sugar dissolves and the ingredients are well combined, creating the dressing for the salad.
Add the shredded green papaya to the bowl and toss it with the dressing. Use your hands or tongs to gently massage and mix the papaya with the dressing, allowing the flavors to blend.
Add the tomato wedges, chopped cilantro, and mint leaves to the bowl. Toss everything together to evenly distribute the ingredients.
Sprinkle the roasted peanuts over the salad and give it a final toss.
Transfer the Thai Papaya Salad to a serving dish or individual plates.
Serve the salad immediately as a refreshing side dish or as a light main course.