Severance and unemployment, do they overlap? - any advice?

I was offered severance of 12 weeks after being let go as a marketing coordinator and I am unsure how it affects benefits. Any experience at all would help. I also wonder about the job-search requirement.

Before signing, I asked a friend who is a lawyer to look at the agreement. It was a short conversation and worth it.

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