Since 2022 orders are planned to be accepted middle of next month, June 14 presently, I would think you're not going to get anything until after that date.
Bandit400 posted links in post 9 of this thread about the expected schedules from on a couple fleet websites. Here's the snippet for Ram HDs as of 5/19, the last time that page was updated.
View attachment 16805
If you assume 2 months from Production Start Up, you're looking at late Sept delivery. I would imagine these dates slip due to all the supply chain issues, not just chip shortages.
Production for the 2022 HD and Chassis Cab models will start on July 26th.