fix(sdk): add support for propagating messages from the internal process

[kptkin]

Fixes

• Fixes WB-15242

Description

What does the PR do?

TODO:

• Add implicit finish code path
• Add static print function for the warnings...

🤖 Generated by Copilot at 78cffb7

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Testing

How was this PR tested?

Checklist

• Include reference to internal ticket "Fixes WB-NNNNN" and/or GitHub issue "Fixes #NNNN" (if applicable)
• Ensure PR title compliance with the conventional commits standards

copilot:poem

[codecov]

Codecov Report

Merging #5803 (b948e41) into main (738a9ac) will decrease coverage by 0.07%.
Report is 36 commits behind head on main.
The diff coverage is 94.23%.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #5803      +/-   ##
==========================================
- Coverage   78.02%   77.95%   -0.07%     
==========================================
  Files         379      379              
  Lines       43559    43610      +51     
==========================================
+ Hits        33985    33996      +11     
- Misses       9522     9562      +40     
  Partials       52       52              

Flag	Coverage Δ
unittest	81.56% <96.07%> (-0.08%)	⬇️

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Files Changed	Coverage Δ
nexus/pkg/server/handler.go	0.00% <0.00%> (ø)
wandb/sdk/wandb_run.py	91.21% <93.54%> (+0.04%)	⬆️
wandb/sdk/interface/interface.py	91.43% <100.00%> (+0.05%)	⬆️
wandb/sdk/interface/interface_shared.py	84.28% <100.00%> (+0.18%)	⬆️
wandb/sdk/internal/handler.py	94.62% <100.00%> (+0.06%)	⬆️
wandb/sdk/service/streams.py	92.12% <100.00%> (+0.10%)	⬆️

... and 11 files with indirect coverage changes