Does severance delay my unemployment claim? - any advice?

I was offered severance of 8 weeks after being let go as a logistics coordinator and I am unsure how it affects benefits. The agreement mentions a release and a payment schedule. How did your state treat it?

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.