Proper Way to Transfer Fenix 6 Pro to be paired with a new phone?

Just got a new phone (pixel 6 pro coming from 2 XL). My Fenix 6 pro is already paired to the 2xl, but it shows in the app (data transfer from old phone to new) on my new phone.

Cannot seem to find this anywhere, what is the proper way to remove the Fenix 6 pro from being paired up with my old phone and then pair it up with my new phone without disturbing any data or having it think it's a new watch? Maybe I'm reading it wrong but there does not seem to be any guides on moving the phone that you're paired up with.