Boundedness modulo flops for rationally connected klt Calabi–Yau varieties

Let $d$ be a positive integer. Consider all $d$-dimensional klt Calabi–Yau rationally connected projective varieties. Rationally connected Calabi–Yau boundedness conjecture modulo flops. These varieties form a bounded family modulo flops. The supplied text does not provide a general proof; it only records dimension-two and dimension-three results for a related generalized conjecture.