dev: adding preemptiveness to background agents

[Karthik-Ragunath]

What does this PR do?

Adding preemptiveness to background agents.

Type of change

• Bug fix
• New feature
• Breaking change
• Documentation
• Other: ___________

Testing

How did you test this?
With playgrounds

Checklist

• I have read the contributing guidelines
• I have added tests that prove my fix is effective or that my feature works
• I have formatted my code with make format

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Note

Low Risk
Only updates the example agent’s system prompt text; no runtime logic changes. Risk is limited to behavior shifts from new prompt instructions when using the example.

Overview
Updates the examples/chat_supervisor system prompt to make background ask_supervisor responses preemptive: when a supervisor result arrives, the agent must surface it prominently even if the conversation moved on, optionally answering the newest user message first and then returning to the earlier question.

Also tightens guidance to never ignore a supervisor result and to continue synthesizing responses into concise, voice-friendly explanations.

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[sauhardjain]

Thanks for your contribution! It would be awesome if you could add in how you validated the prompting changes (a before/after comparison or similar).