[10/11] refactor(deslop): share cycle detection traversal

[aidenybai]

Part 10 of 11. Review this PR against codex/internal-architecture-09-compatibility-guardrails.

What changed

• Replaces deslop's duplicate SCC traversal with the shared deterministic implementation introduced by the architecture gate.
• Removes superseded cycle-walk code.

Why

Both dependency analysis and source-architecture validation need the same stable strongly connected component semantics.

Impact

Internal deduplication; deslop output behavior is preserved.

Validation

• All 519 deslop tests
• Differential type-analysis suite
• Architecture cycle tests

Stack

Review only each PR's diff against its base branch. Merge in order.

1. #1463 — Git service decomposition
2. #1478 — Core execution pipeline
3. #1479 — Workspace package graph
4. #1480 — Package-aware rules
5. #1487 — Private evaluator parity
6. #1482 — API/LSP adapter facades
7. #1483 — CLI workflow decomposition
8. #1481 — CLI facade import migration
9. #1484 — Architecture and compatibility gates
10. #1485 — Shared deslop cycle traversal
11. #1486 — Architecture docs and skill sync

[pkg-pr-new]

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npm i https://pkg.pr.new/eslint-plugin-react-doctor@1485

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npm i https://pkg.pr.new/react-doctor@1485

commit: bed7f55

[aidenybai]

Closing this cycle-detection refactor slice as part of the regression-risk reduction. The original architecture stack has been replaced by four independent correctness/performance PRs that each target main. The full rewrite remains preserved on codex/internal-architecture-rewrite-full if we want to revisit it separately.