Noodles with crispy chilli oil eggs

Name: Noodles with crispy chilli oil eggs
Prep time: 25 min
Cook time: 50 min
Total time: 1 h 15 min
Cuisine: Asian
Ingredients: 1 tsp vegetable oil; 2 heads pak choi, each halved through the core; 2 tsp Chinese black vinegar; 1 tbsp soy sauce; 1 tsp sesame oil; pinch of sugar; 200g cooked noodles (I use straight-to-wok noodles, egg, udon or ramen noodles); 2 large eggs; 4 small shallots, halved and thinly sliced; 1 head of garlic (about 8-10 cloves) thinly sliced; 1 x 10cm cinnamon stick; 4 star anise; 500ml vegetable oil; 2 tbsp sesame seeds; 2 tsp cumin seeds; 1 tsp Szechuan peppercorns; 1 thumb-sized piece ginger, peeled, finely chopped; 30g crushed red chilli flakes; 2 tbsp soy sauce; 1 tbsp caster sugar