Scrub the clams and mussels under cold running water to remove any grit from the shells.
Pull the beards off the mussels by tugging them toward the hinge, then discard any beards.
Tap any open clams or mussels against the counter. If they do not close within a minute, throw them out.
Soak the clams in a bowl of cold water for 20 minutes so they spit out any sand, then rinse and set aside.
Pat the fish, shrimp, and scallops dry, and keep everything cold in the fridge until you are ready to add it.
Heat the olive oil in a large Dutch oven over medium heat until it shimmers.
Add the sliced fennel, onion, and celery, and cook for 8 to 10 minutes, stirring now and then, until soft and translucent.
Add the sliced garlic and red pepper flakes, and cook for 1 minute until fragrant. Do not let the garlic brown, since it turns bitter.
Stir in the tomato paste and cook for 1 to 2 minutes, until it deepens in color. This step is what gives the broth its rich, roasted backbone.
Pour in the white wine and scrape up any browned bits stuck to the bottom of the pot.
Let the wine simmer for 3 to 4 minutes, until it reduces by about half.
Add the crushed tomatoes, seafood stock, clam juice, bay leaf, oregano, salt, and black pepper.
Bring the broth to a gentle boil, then lower the heat and simmer uncovered for 25 minutes so the flavors blend and the broth thickens slightly.
Taste and adjust the salt and pepper. The broth should taste bold on its own, since the seafood will mellow it.
Increase the heat to bring the broth to a steady simmer.
Add the clams first, cover the pot, and cook for 3 minutes.
Add the mussels, cover again, and cook for another 2 to 3 minutes, until the shells start to open.
Discard any clams or mussels that stay tightly shut after cooking.
Nestle the fish pieces into the broth, spacing them out so they cook evenly.
Add the shrimp and scallops around the fish.
Cover the pot and cook for 5 minutes, until the fish flakes, the shrimp turn pink, and the scallops are opaque.
Do not stir hard, or the fish will fall apart. Gently shake the pot instead to settle everything into the broth.
Remove and discard the bay leaf.
Taste the broth one last time and adjust the seasoning if needed.
Ladle the stew into wide bowls, giving each one a mix of every kind of seafood.
Scatter chopped parsley and reserved fennel fronds over the top, and add a lemon wedge to each bowl.
Serve right away with plenty of crusty sourdough on the side.