Does severance delay my unemployment claim? - what worked for you?

I was offered severance of 11 weeks after being let go as a machine operator and I am unsure how it affects benefits. I do not usually post, so bear with me. The agreement mentions a release and a payment schedule. Who should I ask before signing?

Thanks for writing this out. I went through something close to it last year, and it settled down once I kept a simple log of every call and form.