Revert "[builder] Support for --skip-new-go-module (#10098)"

[codeboten]

This reverts commit a0331ed.

[codecov]

Codecov Report

Attention: Patch coverage is 73.91304% with 6 lines in your changes missing coverage. Please review.

Project coverage is 91.69%. Comparing base (5963d44) to head (a24d56c).
Report is 1 commits behind head on main.

Files	Patch %	Lines
cmd/builder/internal/builder/main.go	62.50%	5 Missing and 1 partial ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main   #10978      +/-   ##
==========================================
- Coverage   91.86%   91.69%   -0.17%     
==========================================
  Files         411      411              
  Lines       19328    19294      -34     
==========================================
- Hits        17756    17692      -64     
- Misses       1221     1241      +20     
- Partials      351      361      +10     

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[songy23]

cc @kristinapathak @mx-psi