Remove function that gave impression everest was logging to azure

[oyvindeide]

Issue
Resolves #9199

Approach
Short description of the approach

(Screenshot of new behavior in GUI if applicable)

• PR title captures the intent of the changes, and is fitting for release notes.
• Added appropriate release note label
• Commit history is consistent and clean, in line with the contribution guidelines.
• Make sure unit tests pass locally after every commit (git rebase -i main --exec 'pytest tests/ert/unit_tests -n logical -m "not integration_test"')

When applicable

• When there are user facing changes: Updated documentation
• New behavior or changes to existing untested code: Ensured that unit tests are added (See Ground Rules).
• Large PR: Prepare changes in small commits for more convenient review
• Bug fix: Add regression test for the bug
• Bug fix: Create Backport PR to latest release

[codecov-commenter]

Codecov Report

Attention: Patch coverage is 90.90909% with 1 line in your changes missing coverage. Please review.

Project coverage is 91.87%. Comparing base (72babc5) to head (9d417cb).

Files with missing lines	Patch %	Lines
src/everest/plugins/everest_plugin_manager.py	80.00%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #9558      +/-   ##
==========================================
+ Coverage   91.85%   91.87%   +0.02%     
==========================================
  Files         433      433              
  Lines       26767    26761       -6     
==========================================
  Hits        24586    24586              
+ Misses       2181     2175       -6     

Flag	Coverage Δ
cli-tests	39.78% <ø> (ø)
everest-models-test	34.67% <81.81%> (-0.02%)	⬇️
gui-tests	72.15% <ø> (+<0.01%)	⬆️
integration-test	37.22% <72.72%> (-0.02%)	⬇️
performance-tests	51.97% <ø> (ø)
test	40.48% <90.90%> (-0.01%)	⬇️
unit-tests	74.16% <45.45%> (+0.03%)	⬆️

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[codspeed-hq]

CodSpeed Performance Report

Merging #9558 will degrade performances by 50.57%

_{Comparing oyvindeide:remove_azure_mentions (9d417cb) with main (72babc5)}

Summary

❌ 1 regressions
✅ 22 untouched benchmarks

⚠️ Please fix the performance issues or acknowledge them on CodSpeed.

Benchmarks breakdown

	Benchmark	main	oyvindeide:remove_azure_mentions	Change
❌	test_gui_snapshot	3.2 s	6.5 s	-50.57%