Severance and unemployment, do they overlap? - 11 weeks in

I was offered severance of 4 weeks after being let go as a forklift operator and I am unsure how it affects benefits. I have read a lot of threads here and could not find my exact situation. I also wonder about the job-search requirement. Did you file straight away?

Keep everything in writing and save the confirmation numbers. It made the follow-up calls so much easier.

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