The Xiu Snake is probably already known to the higher-ups of the Social Sequence, but as long as they can't find any traces, it's not a problem.
So the best thing for the Taigong Dynasty to do next is to disarm and return to the fields, keeping a low profile. The Terrorism Control Bureau and the police will definitely scrutinize the Taigong Dynasty for a while, but they would never guess that the Taigong Dynasty is cleaner than any of these official organizations of the Social Sequence, with no illegal or disorderly behaviors whatsoever.
Having a facade of righteousness, neither the Terrorism Control Bureau nor the police could lay a hand on the Taigong Dynasty without evidence, as this would also cause unrest in the Thirteen District.
If leaders of other underground organizations misunderstand the situation, it might cause even bigger trouble, so the police will only investigate, and without finding anything, they can't really take action.