feat(Orama): don't rely on static build

[avivkeller]

Orama relies on /next-data/api-data and /next-data/page-data, which no other part of the site needs. This could probably be removed from the server entirely, and done locally.

Successful Orama Sync = https://github.com/nodejs/nodejs.org/actions/runs/17176946135/job/48734137782?pr=8107

[vercel]

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Project	Deployment	Preview	Updated (UTC)
nodejs-org	Ready	Preview	Aug 26, 2025 1:07am

[avivkeller]

See the new pull_request check running @ https://github.com/nodejs/nodejs.org/actions/runs/17169658343/job/48716786826?pr=8107

[codecov]

Codecov Report

❌ Patch coverage is 96.87500% with 5 lines in your changes missing coverage. Please review.
✅ Project coverage is 76.59%. Comparing base (a9e90a2) to head (684f399).
⚠️ Report is 5 commits behind head on main.
✅ All tests successful. No failed tests found.

Files with missing lines	Patch %	Lines
apps/site/scripts/orama-search/get-documents.mjs	92.95%	5 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #8107      +/-   ##
==========================================
+ Coverage   75.88%   76.59%   +0.70%     
==========================================
  Files         112      114       +2     
  Lines        9433     9569     +136     
  Branches      303      317      +14     
==========================================
+ Hits         7158     7329     +171     
+ Misses       2274     2239      -35     
  Partials        1        1              

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[github-actions]

Lighthouse Results

URL	Performance	Accessibility	Best Practices	SEO	Report
/en	🟢 99	🟢 100	🟢 100	🟢 100	🔗
/en/about	🟢 99	🟢 97	🟢 100	🟠 88	🔗
/en/about/previous-releases	🟢 97	🟢 93	🟢 100	🟠 89	🔗
/en/download	🟢 94	🟢 100	🟢 100	🟢 100	🔗
/en/blog	🟢 99	🟢 100	🟢 96	🟢 100	🔗

[ovflowd]

There are a few concerns regarding code-smell, use of more stable APIs (such as ASTs) and maybe even using our existing doc-kit for this. Also, can you please add tests for this script? I know there were none, but I actually want to verify this is working as expected from now on....