ci: auto-sync docs/ to the website on doc changes

[Ma77Ball]

What changes were proposed in this PR?

• Adds a GitHub Actions workflow that keeps the website docs in sync with this repository, which is the single source of truth for documentation.
• How it works: when any file under docs/ changes on main, the workflow copies each Markdown page body into the website repo (apache/incubator-texera-site) and pushes it, which triggers the site's existing publish build.
• It preserves the website's own front matter (page redirects and menu settings) and only replaces the body, so site navigation and aliases are never clobbered; new pages are copied and removed pages are deleted, so the site stays a faithful mirror.
• The job runs only on apache/texera (forks are skipped) and can also be triggered manually from the Actions tab.

Any related issues, documentation, or discussions?

Related to: #5001

How was this PR tested?

• Need a token from the incubator GitHub to test

Was this PR authored or co-authored using generative AI tooling?

Co-authored with Claude Opus 4.8 in compliance with ASF

[codecov-commenter]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 51.29%. Comparing base (6d604f3) to head (b72174c).
✅ All tests successful. No failed tests found.

Additional details and impacted files

@@             Coverage Diff              @@
##               main    #5308      +/-   ##
============================================
+ Coverage     51.14%   51.29%   +0.14%     
- Complexity     2413     2418       +5     
============================================
  Files          1054     1054              
  Lines         40923    40923              
  Branches       4381     4381              
============================================
+ Hits          20932    20993      +61     
+ Misses        18791    18706      -85     
- Partials       1200     1224      +24     

Flag	Coverage Δ		*Carryforward flag
access-control-service	41.89% <ø> (ø)
agent-service	33.76% <ø> (ø)
amber	51.99% <ø> (+0.37%)	⬆️
computing-unit-managing-service	1.38% <ø> (ø)
config-service	54.68% <ø> (ø)
file-service	38.42% <ø> (ø)
frontend	45.77% <ø> (+0.02%)	⬆️
pyamber	90.69% <ø> (ø)
python	90.83% <ø> (-0.02%)	⬇️	Carriedforward from b90e76d
workflow-compiling-service	58.39% <ø> (ø)

*This pull request uses carry forward flags. Click here to find out more.

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[Ma77Ball]

/request-review @aglinxinyuan

[Copilot]

Pull request overview

Adds a dedicated GitHub Actions workflow to keep the Hugo website documentation in apache/incubator-texera-site synchronized with this repo’s docs/ folder whenever docs/** changes on main (or via manual dispatch), by updating the site repo and pushing a commit to trigger its existing publish pipeline.

Changes:

• Introduces .github/workflows/sync-docs-to-site.yml to sync docs/ into content/docs/latest/ in the website repo.
• Uses an inline Python script to preserve target front matter while replacing Markdown bodies, and removes pages that no longer exist upstream.
• Commits and pushes changes to the website repo with retry + rebase logic.

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