Finally got an email:
Originally Posted by The U.S. Department of State
Application Status: In Process
The U.S. Department of State has received your application for your passport book on 03/03/2021. We're now reviewing your application and supporting documents.
You requested routine service when you applied, which we are currently processing in 10-12 weeks.
So 10-12 weeks for processing and another 4 weeks for the USPS to deliver. I should have my new passport by June 23.
Good thing I'm not planning to go anywhere where I absolutely need it.