The Yamato crew isn't fighting an enemy they can shoot their way past. They're racing a clock that doesn't care about their ship's firepower, with Earth burning countdown in the background and every decision potentially the one that kills billions. This is catastrophe as pure pressure, the kind that separates who breaks from who doesn't. The Black Nebula Empire wins by doing nothing at all, and that is infinitely harder to fight than any fleet.
The Black Nebula Empire launches an attack on Earth and places a bomb on the planet, warning that any counterattack will lead them to set it off. With humanity unable to strike back without risking destruction, the Yamato crew becomes Earth's best hope. They set out for the Black Nebula Planet, searching for a way to disarm the bomb before time runs out. The film is a science fiction adventure drama with the survival of the whole planet at stake.