Enots Wolley surjectivity: Solved?

[Nathan Nichols]

> The Enots Wolley sequence was introduced by Shannon and Sloane [OEIS A336957]. Sloane conjectured that every positive integer with at least two distinct prime factors occurs in the sequence.

Previously, I posted about proving this conjecture for the rank-capped version of the Enots Wolley sequence. Now, I think I have a proof of the "Real" conjecture. 

Arxiv pre-print: https://arxiv.org/abs/2609.18054

Sequence link: https://oeis.org/A336957

Would appreciate any feedback. 

Thanks,

-Nathan