feat: add Datadog observability integration for AgentCore Runtime

[Robobc]

Add two Jupyter notebooks demonstrating Datadog APM integration with Strands agents deployed on Amazon Bedrock AgentCore Runtime:

• runtime_with_strands_and_datadog.ipynb: Uses the Python starter toolkit for direct API-based deployment with ADOT auto-instrumentation
• runtime_with_strands_and_datadog_agentcore_cli.ipynb: Uses the AgentCore CLI with Container build and CDK/CloudFormation infrastructure-as-code

Both notebooks export traces to Datadog via OTLP (no sidecar required) using ADOT environment variables configured at deploy time.

Amazon Bedrock AgentCore Samples Pull Request

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Concise description of the PR

Summary

Add Datadog APM integration to the partner observability tutorials.

What's included

`Datadog/` folder with two notebooks:

Notebook	Deployment Method	Build Type
`runtime_with_strands_and_datadog.ipynb`	Python starter toolkit	Container (ECR)
`runtime_with_strands_and_datadog_agentcore_cli.ipynb`	AgentCore CLI	Container (CDK/CloudFormation)

Both notebooks deploy a Strands agent with calculator and weather tools to AgentCore Runtime, with traces exported to Datadog via ADOT OTLP — no Datadog Agent sidecar required.

How it works

• `AGENT_OBSERVABILITY_ENABLED=true` enables ADOT auto-instrumentation in the container
• OTEL env vars route traces directly to Datadog's OTLP intake endpoint
• Dual observability: CloudWatch (automatic) + Datadog APM

Testing

Both notebooks have been tested end-to-end with traces confirmed in Datadog APM.

User experience

Please share what the user experience looks like before and after this change

Checklist

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• I have reviewed the contributing guidelines
• Add your name to CONTRIBUTORS.md
• Have you checked to ensure there aren't other open Pull Requests for the same update/change?
• Are you uploading a dataset?
• Have you documented Introduction, Architecture Diagram, Prerequisites, Usage, Sample Prompts, and Clean Up steps in your example README?
• I agree to resolve any issues created for this example in the future.
• I have performed a self-review of this change
• Changes have been tested
• Changes are documented

Acknowledgment

By submitting this pull request, I confirm that you can use, modify, copy, and redistribute this contribution, under the terms of the project license.

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