Stir in the garlic and smoked paprika and cook for 1 minute until fragrant. Add the crushed tomatoes, salt, and pepper, and cook for 10 minutes until thickened to a jam-like consistency.
Add the Bomba rice and stir constantly for 2 minutes to toast the grains.
Pour in the white wine, scraping the bottom of the pan. Cook for 1-2 minutes until it has mostly evaporated.
Add the remaining warm broth and the saffron-broth mixture. Stir once to distribute the rice. DO NOT STIR AGAIN.
Bring to a simmer, then reduce heat to medium-low. Cook for 10 minutes, rotating the pan occasionally.
Arrange the clams, mussels, and shrimp on top of the rice, nestling them in slightly.
Continue to simmer for another 8-10 minutes, until the shellfish have opened, shrimp are pink, and the liquid is absorbed.
For the socarrat, increase heat to medium-high for 45-60 seconds until you hear the rice crackling at the bottom.
Remove from heat, cover loosely with foil, and let rest for 5-10 minutes before garnishing with parsley and serving with lemon wedges.
Notes
For the best results, use a proper paella pan. If you don't have one, use the widest, most shallow skillet you own to ensure the rice cooks in a thin, even layer.