Gmail "Move an e-mail" just labels email and does not move out of main inbox

I am working on an e-mail automation for a basic Gmail account. I am looking for my automation to only “watch-emails” in a certain folder. This is possible however, my other automation is looking at the main inbox where these emails also pop up. Is it possible to completely move these emails to it’s own separate folder without human input and have these emails not pop up in the main mailbox again?