A single generation theorem for simple unital $C^{\ast }$-algebras with CPoU and comparison

In this note, assuming the finite factor generation theorem obtained by OpenAI, we demonstrate that if a separable simple unital $C^{\ast }$-algebra $A$ with nonempty trace space, has the strict comparison for positive elements, and its uniform tracial completion has complemented partitions of unity (CPoU), then $A$ is singly generated.