first issue

Is your feature request related to a problem?

I believe the issue is that the baggage.set_baggage(key, value) does not read the current context that later gets called by get_all( ). instead it creates a new Context object with the baggage entry added and returns but the newer context is never made "current"

Describe the solution you'd like

i guess use attach( ) with each context to make it current and then use detach( ) when it is complete

from opentelemetry import baggage, context, trace

tracer = trace.get_tracer(name)

global_ctx = baggage.set_baggage("context", "global")
token_global = context.attach(global_ctx)

with tracer.start_as_current_span(name="root span") as root_span:
parent_ctx = baggage.set_baggage("context", "parent")
token_parent = context.attach(parent_ctx)

with tracer.start_as_current_span(name="child span") as child_span:
    child_ctx = baggage.set_baggage("context", "child")
    token_child = context.attach(child_ctx)

Describe alternatives you've considered

No response

Additional Context

No response

Would you like to implement a fix?

Yes

Tip

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Start with the Python baggage.set_baggage and get_all APIs and the context.attach/detach behavior shown in the issue. Check the existing baggage and context tests before reproducing the nested example. Done means the intended current-context behavior is established and covered for the global, parent, and child values, including context restoration.