Does severance delay my unemployment claim? - 8 months and counting

I was offered severance of 4 weeks after being let go as a line cook and I am unsure how it affects benefits. There are 4 people counting on me, so I am trying to be careful. I also wonder about the job-search requirement. How did your state treat it?

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