refactor(nus-api): migrate to new vendor

[ravern]

Context

Implementation

Other Information

[vercel[bot]]

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Project	Deployment	Review	Updated (UTC)
nusmods-export	Ready	Preview, Comment	Dec 25, 2025 2:08am
nusmods-website	Ready	Preview, Comment	Dec 25, 2025 2:08am

[codecov[bot]]

Codecov Report

:white_check_mark: All modified and coverable lines are covered by tests. :white_check_mark: Project coverage is 56.62%. Comparing base (988c6fd) to head (e22c2b9). :warning: Report is 154 commits behind head on master.

Additional details and impacted files

@@            Coverage Diff             @@
##           master    #4253      +/-   ##
==========================================
+ Coverage   54.52%   56.62%   +2.10%     
==========================================
  Files         274      297      +23     
  Lines        6076     6924     +848     
  Branches     1455     1671     +216     
==========================================
+ Hits         3313     3921     +608     
- Misses       2763     3003     +240     

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