Should I negotiate my severance? (Raleigh)

The company sent a severance agreement with a release of claims, and I am unsure what to do. It has been weighing on me all week. There is a non-disparagement clause. Did anyone negotiate and succeed?

I asked for two more weeks and a neutral reference. They agreed to the reference and added a week.

Ask for the offer in writing and do not sign on the spot. A day or two to think is normal.