Severance and unemployment, do they overlap?

My employer is paying severance in instalments and I am not sure whether to file now. I am in Omaha, in case local advice matters. 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.

Rules differ by state. I called the claims line and asked directly, then wrote down the answer and the date.