Severance and unemployment, do they overlap? (Louisville)

I was offered severance of 13 weeks after being let go as an HR coordinator and I am unsure how it affects benefits. Thank you in advance. I also wonder about the job-search requirement. How did your state treat it?

I filed on day one anyway and reported the severance honestly. The agency decided what to do about the timing.

Some states only count certain kinds of severance. A local workforce centre could tell me which.