Severance and unemployment, do they overlap? - 2 months and counting

I was offered severance of 4 weeks after being let go as a welding apprentice and I am unsure how it affects benefits. It has been a long 13 weeks. I have a mortgage and need to plan. Did you file straight away?

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.