Cook the rice noodles according to package instructions until al dente. Drain and rinse under cold water to stop cooking. Set aside.
In a large skillet or wok, heat the vegetable oil over medium-high heat. Add minced garlic and sauté for about 30 seconds until fragrant.
Add the sliced onion and bell pepper to the skillet. Stir-fry for 2-3 minutes until they start to soften.
Add the broccoli, snap peas, and carrots. Stir-fry for another 3-4 minutes until the vegetables are tender-crisp.
In a small bowl, mix together the soy sauce, oyster sauce, fish sauce, sugar, and chili paste. Pour this sauce over the vegetables in the skillet.
Add the cooked rice noodles to the skillet. Toss everything together gently to combine and heat through, about 2-3 minutes.
Remove from heat and stir in the fresh basil leaves. Serve hot with lime wedges on the side.