Severance and unemployment, do they overlap? (update)

I was offered severance of 6 weeks after being let go as a home health aide and I am unsure how it affects benefits. This is my first time dealing with any of this. The agreement mentions a release and a payment schedule. Did you file straight away?

Rules differ by state. I called the claims line and asked directly, then wrote down the answer and the date.

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