Does severance delay my unemployment claim? (Nashville)

I was offered severance of 7 weeks after being let go as a janitorial supervisor and I am unsure how it affects benefits. This is my first time dealing with any of this. I have a mortgage and need to plan. 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.