Heat a pot over medium heat and drizzle in the neutral oil.
Add garlic, ginger, and Thai chili peppers. Sauté until fragrant, about 30 seconds.
Stir in the laksa paste and fry for another minute.
Pour in the chicken broth and coconut milk. Stir to combine and bring to a gentle simmer.
Season with fish sauce and a pinch of sugar, adjusting to taste.
Add fish balls and fried tofu. Simmer for 5–7 minutes to let them soak up the broth.
Add shrimp and veggies during the last 2 minutes of cooking, just until shrimp turn pink and veggies are tender.
Divide noodles into bowls and ladle the hot laksa over top.
Finish with a squeeze of fresh lime and extra chili oil or hot sauce, if you like a bit of heat.