Does severance delay my unemployment claim? (update)

I was offered severance of 3 weeks after being let go as a delivery driver and I am unsure how it affects benefits. It has been a long 12 weeks. I have a mortgage and need to plan. How did your state treat it?

Thanks for writing this out. I went through something close to it 10 months ago, and it settled down once I kept a simple log of every call and form.