feat: add ElevenLabs JavaScript SDK example for code snippets documentation

[devin-ai-integration]

feat: add ElevenLabs JavaScript SDK example for code snippets documentation

Summary

Adds an example JavaScript file demonstrating the ElevenLabs Agents SDK (@elevenlabs/client) for use in documentation. This example showcases the Conversation.startSession() API with various callbacks (onConnect, onDisconnect, onMessage, onError, onStatusChange, onModeChange) that would display nicely in IDE screenshots with JSDoc documentation visible.

This is related to GitHub issue #6138 which requests improving the "Snippets in the SDK" documentation section with IDE screenshots.

Review & Testing Checklist for Human

• Verify the example code accurately reflects the current ElevenLabs JavaScript SDK API (based on https://elevenlabs.io/docs/agents-platform/libraries/java-script)
• Confirm examples/sdks/elevenlabs/ is the appropriate location for this file
• Check if this example file is sufficient for the intended use case (taking IDE screenshots showing JSDoc documentation)

Notes

• The example is based on the ElevenLabs SDK documentation but has not been tested against the actual SDK
• The file is intended to be used for IDE screenshots, not for execution
• Link to Devin run: https://app.devin.ai/sessions/817b020bc72c4c699339e619a38de7e8
• Requested by: Catherine Deskur ([email protected])

[devin-ai-integration]

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