Start by peeling and julienning the green papaya, then soak the papaya in cold water. Drain the soaked papaya well and place in a bowl lined with 2 layers of paper towel to absorb excess water.
Using a mortar and pestle, pound garlic and chilies until there are no more big chunks (pieces of chili skin are fine).
Add palm sugar and mash with the pestle until it turns into a wet paste and all the chunks are dissolved.
Add long beans and pound just until they're broken.
Add dried shrimp and peanuts and pound to break the peanuts up slightly.
Add fish sauce, tamarind paste, and lime juice then stir.
Add the dressing and sliced grape tomatoes to the shredded papaya.
Mix everything together until well incorporated, and enjoy!