Nevada lump sum severance pay

State: Nevada I was recently laid off. I signed an agreement with my employer that includes non-compete, non-disparagement, non-disclosure clauses as well as a waiver to the right to any commissions on sales that might close post termination. The amount was calculated on my base pay X 14 weeks, but it was paid in a lump sum.
I applied for unemployment and was told that they spread the pay out over 14 weeks and since it is more than the unemployment benefit, I will not get any benefit for those weeks. I looked at NRS and it states: NRS 612.420 Receipt of wages in lieu of notice; severance pay. A person is disqualified for benefits for any week with respect to which he receives either wages in lieu of notice or severance pay. I asked unemployment about that and they simply said 'that's not how we do it & told me I could appeal it. Any ideas? Should I just let it go and wait 14 weeks to start collecting unemployment?