Wrong. Noah's son Ham took a wife from the cain bloodline and she gave birth to a son Cush. The bloodline continued.
Curse of Canaan - page 9
Having been warned by God of the impending catastrophe, Noah succeeded in building the Ark, one of the greatest engineering feats of all time. Weighing 36,750 tons, it was built entirely of wood. It was 450 feet long, 75 feet wide, and 45 feet in depth. On this Ark, God commanded Noah to "take of every living thing of all flesh." Because of the limited space on the Ark, there could be no possibility of further reproduction of these species during their time aboard, and God commanded that no intercourse should take place. This commandment was violated by an inhabitant of the Ark, Ham, the second son of Noah. Ham had intercourse with a preAdamite woman on the Ark, a dark skinned person. Their offspring was a black son named Cush, who became the symbol of Ethiopia.
https://ia802703.us.archive.org/31/items/pdfy-hH7b-2yjyACdh8nO/The%20Curse%20Of%20Canaan%20%5BA%20Demonology%20Of%20History%5D.pdf