Mix carrot salad ingredients together in medium bowl and set aside to marinate.
Cook rice using a rice cooker or on the stovetop.
Remove skin and mince the ginger.
Chop the water chestnuts.
Remove stems and roughly chop the basil.
Remove stems and roughly chop the cilantro.
Remove skin and mince the garlic.
Rinse the lettuce, pat dry with a paper towel, and pull off at least 9 large leaves. Set leaves aside for serving.
In a 12” sauté pan, heat 1 ½ tbsp oil over medium high heat.
When oil is shimmering, add garlic and ginger and sauté about 1 minute.
Add soy sauce, lemongrass paste, and beef to the pan. Season with salt and pepper if desired and cook approximately 5 minutes.
While the beef cooks, in a large bowl whisk together the hoisin sauce and brown sugar.
Using a slotted spoon, transfer beef to the large bowl with the hoisin sauce and brown sugar mixture.
Add water chestnut and cilantro and stir to combine.
To serve: add rice to the lettuce cup, top with beef, and garnish with chopped peanuts and carrot salad.