Toast the stemmed, seeded chiles in a dry pan over medium heat, 20 to 30 seconds a side, pressing them flat. Stop the moment they smell sweet and turn pliable. A chile that darkens or smokes has gone bitter and must be discarded.
Cover the toasted chiles with hot water and soak 20 to 30 minutes, until completely soft.
In the same dry pan, toast the almonds and sesame seeds separately until golden, about 3 minutes each, then set aside. Toast the torn tortilla until dry and lightly browned.
Char the tomatoes, onion and unpeeled garlic in the pan until blackened in patches, about 8 minutes. Peel the garlic.
Blend the drained chiles with the tomatoes, onion, garlic, almonds, sesame seeds, raisins, tortilla, cocoa, cinnamon, cloves and 2 cups of the broth until completely smooth. Work in batches and blend longer than feels necessary.
Press the puree through a sieve, pushing with a ladle and discarding the solids left behind. This is what makes mole velvety rather than gritty.
Heat the lard in a heavy pot until shimmering, then pour in the strained puree all at once. It will spit. Fry it, stirring, for 10 minutes, until it darkens and thickens.
Add the remaining broth and the salt, and simmer gently, partly covered, 40 minutes, stirring often, until it coats a spoon.
Taste and adjust salt. Serve over poached chicken or turkey, scattered with sesame seeds.