Skyhawk 172/Cutlass 172
Flight Crew Commercial; Flight Crew Instrument
Flight Crew Last 90 Days 58; Flight Crew Total 545; Flight Crew Type 300
Situational Awareness
Conflict NMAC
Flight Crew Took Evasive Action
Human Factors; Aircraft
Participating in [military] GCA (Ground Controlled Approach) training at ZZZ. On short final; a non-participating aircraft approached us from above and behind. The aircraft was not heard on CTAF and apparently was not ADS-B Out equipped since it did not appear on our in-cockpit systems in the traffic pattern or on final. The [military] GCA Radar Controller called out the traffic; but due to position; we were both in each other's blind spots until a very close proximity. Upon visual contact with the conflicting aircraft we went around and side-stepped to the right of the runway to avoid any chance of a collision. During these PAR (Precision Approach Radar) approaches; the pilot flying is completely focused on the approach and a right seat observer/safety pilot; in this case; has limited visibility to the left. It is recommended that a left-rear seat observer be carried; or that the approach abandoned any time inbound traffic is detected by the GCA Controller (they should instruct a missed-approach and vector us away from the non-participating traffic). I will pass this on to our organization as a recommendation.
Pilot reported an NMAC while on short final while participating in Ground Control Approach training.