Backport fix: remove duplicate markdown_edited save request (#2112)

[Anas12091101]

Description

This PR is a Teak backport for #2112, which fixes #2099 by removing the duplicate save request.

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Testing instructions

• Cherry-pick commit:
  • 3a3b04d
• In both the course and the library, create a problem using the markdown editor - verify no warnings appear
• Edit the problem - verify no warnings appear during editing

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Thanks for the pull request, @Anas12091101!

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Codecov Report

All modified and coverable lines are covered by tests ✅

Please upload report for BASE (release/teak@fcdf1fd). Learn more about missing BASE report.

Additional details and impacted files

@@               Coverage Diff               @@
##             release/teak    #2126   +/-   ##
===============================================
  Coverage                ?   93.88%           
===============================================
  Files                   ?     1148           
  Lines                   ?    24036           
  Branches                ?     5185           
===============================================
  Hits                    ?    22567           
  Misses                  ?     1401           
  Partials                ?       68           

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[Anas12091101]

Closed in favor of #2098