The APX 7000 uses a separate Bluetooth Option Board, unlike most of the other APX portables where it's integrated. Early models of the APX 7000 did not come with the Bluetooth Option Board installed, however I believe at some point they became standard. Your serial # indicates that radio was manufactured in 2014, and so it should have the option board already installed.
Read the radio in CPS, then look at the bottom of the Radio Information screen. If it shows Bluetooth OB01 for the Option/Expansion Board, then you have the hardware and would only need the FLASH upgrade to add QA00583 - Enable Bluetooth Operation. If it shows N/A, then you need the hardware as well NNTN8160BS - Bluetooth Upgrade Kit