Correction: state employees, and likely contractors of the state, will still be under the vaccine mandate.

Here is a better link:

https://www.governor.wa.gov/news-media/inslee-announces-end-remaining-covid-19-emergency-orders-and-state-emergency-october-31

From the announcement:

“Inslee has already announced that COVID-19 vaccination will remain a condition of employment for most Washington state agencies.”