[Feature Request] Add option or command to create isolated fork sessions without cross-session communication

Bug Description
When using /fork, both sessions are intricately linked (aka, entangled) at first. Either session may say "let me check what the other session changed first", and they may send messages to each other. Sometimes that is probably useful, but most of the time, I fork to perform two distinct actions, e.g. continuing a PR review vs. implementing a bigger change that turned up during the review. In the latter case (which happens far more often), I want the sessions to operate separately from each other. Right now, I tell them "Ignore the other session. Your new work: ...", which gets repetitive. I'd really like a way to have the forked sessions be isolated from the get-go, so that I can truly fork the work.

Environment Info

• Platform: darwin
• Terminal: iTerm.app
• Version: 2.1.267
• Feedback ID: 5559fd46-76c5-4d0b-9464-4dcb335fa25e

Errors

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