Fork/clone a conversation

[glebovmaksim]

It would be great to have an option to fork / clone a conversation to a new tab e.g. with a new command /fork.

Use cases:

• Multi-tasking within the same context (e.g. fixing tests and planning further changes).
• Experimenting with different models in the same context (can be useful in plan mode).
• Running /compact in a forked conversation and having the ability to return to a full message history if compaction goes overly aggressive.

There is a similar feature in Claude Code that creates a fork but stays in the same tab. Maybe opening a new tab is a better default (they have an issue about this).

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