Breeder reactors can power all of humanity for more than 4 billion years. By any reasonable definition, nuclear breeder reactors are indeed renewable. However, billion-year sustainability does require advances in seawater uranium extraction, reactor construction performance, and public acceptance. We have developed breeder reactors in the past, but they remain a small minority of our current fleet.
Some people claim nuclear fuel is inexhaustible and circular, others say we'll run out soon. We do the math. Turns out, it's roughly as inexhaustible as sunlight.