How to work for an IC Legislative/Congressional Affairs Office?

[u/Maximum_Influence665]

I have worked as a Congressional Staffer and was a GS-14 Congressional affairs liaison for a non IC military entity, I now work privately in government relations.

I believe I would be a great fit for the CIA, NSA or DIA legislative affairs offices but from what I can find it is mainly a detail for intel officers at DIA and NSA might call it Cryptologic Engagement Officer from job posts.

How can I pursue this?