AWS Lambda functions don't inject trace headers in responses

[sam-mosleh]

What problem do you want to solve?

When using auto-instrumentation for AWS Lambda functions, trace headers are not included in the HTTP response. This issue specifically affects integrations with:

• API Gateway V2 (HTTP APIs)
• Lambda Function URLs

Describe the solution you'd like

The auto-instrumentation layer should automatically inject trace headers into Lambda response objects when the function is invoked.

Describe alternatives you've considered

Manual header injection

Additional Context

No response

Would you like to implement a fix?

Yes

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