Got a denial letter for unemployment, what now? - 13 months and counting

My claim was denied after 4 weeks of waiting, and the letter says I have a short window to appeal. It has been a long 4 weeks. The letter lists a deadline and a hearing process, but it is hard to follow.

Thanks for writing this out. I went through something close to it 13 months ago, and it settled down once I kept a simple log of every call and form.