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1
Place the eggs in a saucepan, cover with cold water, and bring to a full boil over medium heat. Boil for 10 minutes. Remove the eggs with a slotted spoon and transfer immediately to a bowl. The eggs are ready when the shells are too hot to hold comfortably.
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2
While the eggs are still hot, use the back of a spoon to tap each shell firmly all over until it is covered in a fine network of cracks. Do not remove the shells. This is where the dish lives or dies: thermal stress from the hot egg opens fissures wide enough for the broth to penetrate; if the eggs cool before cracking, the shells contract and the marbling will be faint or absent. Every part of the surface should show a web of cracks.
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3
Combine the water, soy sauce, tea, star anise, cinnamon stick, five-spice powder, and salt in the saucepan. Bring to a gentle simmer over medium heat. The broth should smell deeply aromatic — anise-forward, with the dry, tannic note of the tea rising clearly.
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4
Lower the cracked eggs into the simmering broth. Reduce the heat to the lowest setting and simmer, partially covered, for a minimum of 1 hour and ideally 2 hours. The liquid in the pan should tremble rather than boil; a rolling boil will toughen the whites. At 2 hours, the broth will have reduced and darkened.
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5
Remove the pan from the heat and allow the eggs to cool in the broth to room temperature, then refrigerate overnight, still submerged. The broth will be noticeably more intense in flavour the following day — taste it before serving. Peel one egg: the white should be a deep mahogany-brown in a marbled pattern beneath the shell.
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6
Peel and serve at room temperature or cold. Reserve the broth — it deepens with each subsequent batch and should not be discarded.