Add trace data to response headers

[shameekagarwal]

Is your feature request related to a problem? Please describe.

e.g. a get request fails
when searching through trace / logs
currently, we would have to use tricks like "filter by latest operations", "filter by exception", etc
if the response headers included the trace and span ids
searching through trace / logs becomes much easier

currently, my understanding is that we can use extensions for this
if this feature can be configured via a java system property in otel agent
would be very helpful for debugging

Describe the solution you'd like

configuring this on the otel agent via an environment variable / system property

Describe alternatives you've considered

using an extension - maintenance overhead not worth it for such a small feature imho

Additional context

No response

[trask]

this has been requested a few times now, I suspect it would make a good experimental feature

[aayushi760]

How can we use Extension to fetch it?

[shameekagarwal]

@aayushi760
my understanding - extension is a way to add custom functionality to agent very easily
caveat is of course you have to maintain it, which i didn't like
here is an example, maybe it helps