Exposing the stream in the logging module

[jauy123]

Initial draft that address #5357. It should be a quick relatively painless change to implement.

Changes made in this Pull Request:

LLM / AI generated code disclosure

LLMs or other AI-powered tools (beyond simple IDE use cases) were used in this contribution: yes / no

PR Checklist

• Issue raised/referenced?
• Tests updated/added?
• Documentation updated/added?
• package/CHANGELOG file updated?
• Is your name in package/AUTHORS? (If it is not, add it!)
• LLM/AI disclosure was updated.

Developers Certificate of Origin

I certify that I can submit this code contribution as described in the Developer Certificate of Origin, under the MDAnalysis LICENSE.

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📚 Documentation preview 📚: https://mdanalysis--5367.org.readthedocs.build/en/5367/

[codecov]

Codecov Report

❌ Patch coverage is 55.55556% with 8 lines in your changes missing coverage. Please review.
✅ Project coverage is 93.81%. Comparing base (9269430) to head (f1be0df).
⚠️ Report is 2 commits behind head on develop.

Files with missing lines	Patch %	Lines
package/MDAnalysis/lib/log.py	55.55%	5 Missing and 3 partials ⚠️

Additional details and impacted files

@@             Coverage Diff             @@
##           develop    #5367      +/-   ##
===========================================
- Coverage    93.84%   93.81%   -0.04%     
===========================================
  Files          182      182              
  Lines        22497    22504       +7     
  Branches      3200     3205       +5     
===========================================
- Hits         21113    21112       -1     
- Misses         922      927       +5     
- Partials       462      465       +3     

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