Does severance delay my unemployment claim? (Chicago)

I signed a severance agreement and I am worried about how to report it. It has been weighing on me all week. I also wonder about the job-search requirement. How did your state treat it?

Before signing, I asked a friend who is a lawyer to look at the agreement. It was a short conversation and worth it.

Some states only count certain kinds of severance. A local workforce centre could tell me which.