Got severance, how does it affect benefits? - any advice?

I was offered severance of 13 weeks after being let go as a project coordinator and I am unsure how it affects benefits. Thank you in advance. The agreement mentions a release and a payment schedule.

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.