If you read p. 27 Table S7 of the supplement/appendix, they have the multivariate regression coefficients of both having covid of various durations and being vaccinated and t-scores for significance among other variables. https://www.nejm.org/doi/suppl/10.1056/NEJMoa2311330/suppl_file/nejmoa2311330_appendix.pdf

Their analysis indicate negative coefficient by vaccination (versus not vaccinated) on cognitive score (same as their getting covid relative to not results)

                    coef.    t-score
Vaccine doses 1    -0.130   -3.054
Vaccine doses >=2  -0.057   -4.078

Thus, getting vaccinated is highly significantly (99%+) correlated with a drop in cognitive ability or IQ, more so for the first dose than booster.

This is absolutely hilarious, the paper cited says the exact OPPOSITE of what the LA Times Op ed says, vaccination is instead associated with a DROP in IQ similar to what they say about having Covid.