[2.19] Fix maven publish

[cwperks]

Description

Maven publish has been failing on the 2.19 branch

See: https://github.com/opensearch-project/security/actions/runs/16433040405/job/46437824312

I noticed that the backport to 2.19 of the maven change did not remove these lines.

Check List

• New functionality includes testing
• New functionality has been documented
• New Roles/Permissions have a corresponding security dashboards plugin PR
• API changes companion pull request created
• Commits are signed per the DCO using --signoff

By submitting this pull request, I confirm that my contribution is made under the terms of the Apache 2.0 license.
For more information on following Developer Certificate of Origin and signing off your commits, please check here.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 68.17%. Comparing base (d73c1ab) to head (a0d4925).
Report is 3 commits behind head on 2.19.

Additional details and impacted files

@@            Coverage Diff             @@
##             2.19    #5502      +/-   ##
==========================================
+ Coverage   68.14%   68.17%   +0.03%     
==========================================
  Files         347      347              
  Lines       24625    24625              
  Branches     4084     4084              
==========================================
+ Hits        16780    16789       +9     
+ Misses       5926     5918       -8     
+ Partials     1919     1918       -1     

see 5 files with indirect coverage changes

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