Feature Request: OpenTelemetry: Support Baggage in OtelContext

[Xyaren]

Currently when OtelContext.with or OtelContext.get is called with context key opentelemetry-baggage-key (defined in io.opentelemetry.api.baggage.BaggageContextKey#KEY)
null is returned.

Setup:
Java agent running with DD_TRACE_OTEL_ENABLED=true

This key seems to be used by otel to set or get an instance of io.opentelemetry.api.baggage.Baggage.
In order to be able to use baggage with open-telemetry this context key needs to be handled.

[PerfectSlayer]

Hello @Xyaren 👋

Thanks for reaching us.

We currently don't support baggage with our OTel instrumentation.
It is mainly due to the lack of support for the Context lifecycle.
So even if you were able to store baggage, you won't retrieve any meaningful value when needed.

It is identified as a compatibility issue on our OTel support roadmap though.
We really appreciate if you can open a feature request on our support page so we can make sure to keep track of it, and our support team will be able to learn more about you and your context.
Don't hesitate to link this issue as reference.

Best,
Bruce