Incoming emails are automatically archived for 20 minutes and won't clutter up your mailboxes.
You should not redirect, delete or otherwise combine with warm-up emails yourself, as this may violate the algorithms for simulating real correspondence. Receiving emails is a very important part of a good warm-up and gaining your reputation as a sender.
Filters are destroying your warm-up process!
BTW a special filter can harm all the warm-up processes - imagine all the users set a special filter to the word "warmup" and put all the messages to a specific folder, just for these messages. What do you think? how will it affect the warm-up?
So after long research and development, we decided to automatically archive all the messages.
How does it work?
If you don't want to see warm-up emails in your inbox at all, even for a short amount of time, you can resort to email display filtering.