Stir the soy sauce, dark mushroom soy sauce, brown sugar, five spice, and sambal oelek together in a small bowl.
Heat the peanut oil in a wok or large skillet over medium-high heat.
Once the oil is hot, add the shallot. Cook the shallot for about 3 minutes, until it becomes very soft, stirring frequently.
Raise the heat to high and add the bell pepper and carrot. Stir fry the vegetables for about 3 minutes, until they brighten in color and become tender-crisp.
Push the vegetables to the side to make some space on the cooking surface. Add the garlic and sauté it for a few seconds, stirring constantly, until it becomes very fragrant.
Stir the garlic in with the pepper and carrots. Add the rice to the wok or skillet, then pour the soy sauce mixture over the rice.
Stir-fry the rice until the sauce dries up and the rice begins to get crispy in spots, about 3 minutes, stirring and flipping constantly.
Remove the wok or skillet from heat and stir in the basil. Keep stirring until the basil wilts.
Divide onto plates and serve with lime wedges.