As im probably one of the few who suffered with diy radio mods here I can sufficiently say you will not be able to use that new radio.
The ones with the screen isnt a radio box but is managing a ton of other mazda data connections within the car for sat radio/gps/reverse cam/canbus for hud adjustments etc. Infact the reason the connections are entirely different is because for those models with the screen, the radio box is located on the lower right passenger footwell. You wont be able to use a harness to swap connections here since its the new unit isnt a radio but gets signals from a separate radio box.
Look through this thread for what Im referring to with pictures
Foreword: Let this thread serve as a timeline diary of sorts. Depending how the project goes whether successful or not, someone in the future might look back and follow this and try something else another way which works that I might have overlooked at the time or have parts did not exist at the...
www.cx3forum.com
What you can do is buy a full android replacement unit from aliexpress or ebay or companies directly like belsee etc and theyll have units to give you a screen with full radio bt gps etc tech but it will not be mazda oem. Infact it's easier for you to upgrade to those android units with the basic radio than it is for us with the oem screen.
Hope this helps answer some concerns