Saving a context after loading one and making changes

I use contexts to save tabs when I have to switch between different things I am working on - but I don't use tasks. The documentation says I can use contexts without using tasks. After I load a context, and I work for a bit, opening/closing tabs, I would like to save the context before I switch contexts. But I can't find a way to just save the current context that I loaded from an existing save. I can only seem to save the updated context as a new context. Is there any way to save the context as the currently loaded context? This seems like a very common use case? Thanks!