Does severance delay my unemployment claim? (update)

I was offered severance of 3 weeks after being let go as an office manager and I am unsure how it affects benefits. I worked as an office manager before this. The agreement mentions a release and a payment schedule. Who should I ask before signing?

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.