This system uses a combo AirPort card which has both 802.11 WiFi and Bluetooth services. Review this IFIXIT guide: [guide|11709|Mac Mini Late 2012 AirPort/Bluetooth Board Replacement]. Jump down to Steps 20 through 23 as you can see this one part handles both. Most likely you have a bad board, I would start there.
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The part you'll need is: [http://www.powerbookmedic.com/parts/661-6040/Card-AirPort-Extreme-Bluetooth-US-CAN-LA.html|AirPort Extreme/Bluetooth Card - Apple P/N 661-6040]
This system uses a combo AirPort card which has both 802.11 WiFi and Bluetooth services. Review this IFIXIT guide: [guide|11709|Mac Mini Late 2012 AirPort/Bluetooth Board Replacement]. Jump down to Steps 20 through 23 as you can see this one part handles both. Most likely you have a bad board, I would start there.