Heat coconut oil in a large Dutch oven over medium heat until shimmering. Add red curry paste and cook, stirring constantly, until fragrant and slightly darkened, about 2 minutes. It should smell toasty and the oil should separate slightly. Add garlic and ginger and cook 30 seconds more until just golden at the edges.

Pour in coconut milk and broth, scraping up any browned bits from the bottom. Stir in fish sauce and brown sugar. Bring to a gentle simmer over medium-high heat, then reduce to medium-low and cook uncovered for 10 minutes to let the flavors meld. Taste and adjust - you want a balance of rich, salty, and barely sweet.

Slide frozen dumplings directly into the simmering broth. They should be mostly submerged; gently press them down if needed. Simmer until dumplings are cooked through and tender, 6 to 8 minutes for most brands. Cut one open to check - the wrapper should be silky and the filling hot throughout.

Divide dumplings and broth among bowls, making sure everyone gets 4 to 5 dumplings. Top generously with cilantro and serve lime wedges on the side for squeezing over. Add sliced fresh chile if you want more heat.