[FEATURE] Allow to save/load the full current context under the name

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

I often work on multiple tasks in the same project. And may switch between them. Sometimes it is a short switch and I can just run another instance of CC. But sometimes, a switch may take a few days, and context in the current session may be pretty complex and expensive.

Proposed Solution

So, what I would like to have is a pair of commands:
/save-context somename and /load-context somename. And it should not work via some small summary, but should be like a save in a computer game. After loading, you are where you have been before.

Alternative Solutions

_No response_

Priority

High - Significant impact on productivity

Feature Category

CLI commands and flags

Use Case Example

_No response_

Additional Context

_No response_