fix(sync): skip archived repos and guard doc collisions

[hanthor]

Summary

• exclude archived repositories from the org-wide documentation sync
• keep the listing completeness check aligned with the active-repo filter
• add a CI guard for case-insensitive duplicate paths under docs/
• cover the collision detector with unit tests

Why

Archived repos can reintroduce stale hanthor/ references into generated pages. Case-only filename differences such as USER-GUIDE.md and user-guide.md break checkouts on case-insensitive filesystems and can produce duplicate routes.

Validation

• node --check scripts/sync-org-docs.mjs
• node --check scripts/check-doc-collisions.mjs
• node scripts/__tests__/sync-org-docs.test.mjs (71 passed)
• node scripts/check-doc-collisions.mjs
• git diff --check

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[hanthor]

Triage note — this PR is now half-landed, and the remaining half is still worth having.

Already on main, in a stronger form than this PR: the archived-repo guard. scripts/sync-org-docs.mjs now returns {names, archived} from the listing, filters archived repos out of what gets synced, and keeps the archived count so the truncation cross-check can still compare the full listing against org.public_repos (which counts archived public repos). The in-code comment records the motivating incident — 57 public repos becoming 37 active + 20 archived. That is a better design than this PR's approach of filtering inside both gh calls, which would have made the cross-check compare two differently-filtered numbers.

Not on main: the case-collision guard. There is no scripts/check-doc-collisions.mjs, no lint-workflow step, and no findCaseCollisions test.

I checked the live tree and there are currently no case-colliding paths under docs/ — docs/tacklebox/ has USER-GUIDE.md only, not the user-guide.md twin the test fixture references. So this is a preventive guard, not a fix for a live defect, which is why it is not urgent.

Suggested path: rebase and reduce this PR to just scripts/check-doc-collisions.mjs, its two tests, and the lint step, dropping the sync-org-docs.mjs changes that main has already solved differently. Leaving open as real work.

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