Claude Chat vs cowork or code for writing.

So I use Claude to help manage lengthy research and writing projects. (End products of say 70,000 words). Currently I use the desktop app utilizing the projects features. I can upload source documents and project overview materials and Claude can manage the outlining and chapter plans. I also have saved documents with writing voice, formatting and other instructions so Claude knows my preferences,

I was wondering if there is any advantage to moving my work to Cowork or Code instead? What additional capabilities do I gain by doing so, other than the ability to store documents locally for the project? I appreciate any insights you may have.

Thanks in advance.