fix deep research disconnect issue

[joeldrotleff]

The issue I was seeing is if I disconnected then reconnected to an in-progress deep research session, I never received any new messages after reconnecting.

It seems that the issue is, if no clients are connected anymore, the session context goes away. So this fix addresses that.

[coderabbitai]

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✨ Finishing touches

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Post copyable unit tests in a comment
• Commit unit tests in branch joeldrotleff/fix-client-dropped-connection

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