No, the GoPro Hero13 Black is not compatible with the Sony Tough CEA-G480T 480GB CFexpress Type A.
GoPro HERO13 Black has a microSD-only card slot (no CFexpress support of any type). Its own product page confirms only microSD card compatibility -- CFexpress Type A uses a physically different, much larger connector and cannot be inserted into a microSD slot.
What works instead
See all compatible camera for the GoPro Hero13 Black →“*MicroSD card rating v30 or UHS-3. Recommended SD Cards”
Last verified:
Compatibility inferred from spec rule (citations above are manufacturer-verified)