Heggebø was born in Bergen and played youth football with IL Bjarg and SK Brann[3] before starting his professional career at the same club. In 2019 he had a short loan spell at Nest-Sotra[4] in Norwegian First Division.
In the 2021 season he became the preferred choice after his teammate Daouda Bamba transferred in the summer transfer window, and his contract with SK Brann was extended to 2025 in early november 2021.[5]