I am using two factor authentication on my Apple ID (not the older two step verification)
I would like to sign into a Mac with my iCloud/iTunes account and use it normally, but I would like to prevent this Mac from receiving Apple ID two factor codes and being able to authenticate new devices. If possible I would also like to have Find My Mac enabled.
Apple’s documentation leads me to believe this is possible:
The device list shows the devices that you're currently signed in to with your Apple ID. Select a device to view the model, serial number, and other useful information, including whether or not the device is trusted and can be used to receive Apple ID verification codes.
But when I view devices on the Apple ID page I only get the option to remove the device, I don’t have the option to set the device to untrusted.