Thanks for getting back to us, dnneuen,
Allow me to chime into this conversation.
You're right. Washington's Paid Family and Medical Leave program is being administered by your state's Employment Security Department (ESD). As discussed by my peers @KhimG and @juVielL, Intuit will be releasing an official communication detailing how QuickBooks will support with tax.
If you have any questions related to policies and tax reporting, I'd recommend getting in touch with the Employment Security Department. There they can provide you with in-depth information on how this tax should work for you and your employees, including special tax situations.
This State article might help you too, kindly check it out here: https://esd.wa.gov/paid-family-medical-leave/premiums
Please stay tuned to our payroll updates, @dnneuen. I'm here if you need further assistance. Have a great day ahead.