No, the DJI Mic Mini is not compatible with the GoPro Hero13 Black.
DJI Mic Mini's wired outputs are USB-C and 3.5mm TRS. GoPro Hero13 Black has no native 3.5mm or wired mic port -- its USB-C port is power-only and its only audio-input path is Bluetooth (for classic Bluetooth-audio devices, not DJI Mic Mini's RF transmission system). Requires GoPro's separate Media Mod accessory.
What works instead
See all compatible microphone for the DJI Mic Mini →“MAGNETIC DOOR + POWER CABLE KIT The magnetic cable forms a weatherproof seal with the door and connects to any USB-C power source to continuously power your camera.”
“DJI Mic Mini Camera Audio Cable (3.5mm TRS) × 1 DJI Mic Mini Mobile Phone Adapter (Type-C) × 1”
Last verified:
Compatibility inferred from spec rule (citations above are manufacturer-verified)