Which 2-Segal spaces induce Multi-fusion categories?

In the theory of 3-dimensional Topological Field Theories (short TFTs), certain monoidal categories called multi-fusion categories are of fundamental importance. Well-known simple examples of these arise from finite groups via a linearization construction. However,  from the same construction also more interesting examples of monoidal categories can be constructed from any 2-Segal space. These include so-called Hall monoidal categories, which are anticipated to have interesting connections to certain TFTs.