feat(education): complete Flyway migration and atomic submit

docs/education/migration/issues/EDU-000-phase-0-inventory.md

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+# EDU-000 — Phase 0 inventory and architecture map
+
+- **Status:** done
+- **Type:** discovery
+- **Phase:** 0
+- **Blockers:** none
+
+## Outcome
+
+A verified static map of the source system, target capabilities, historical commits, database objects, reusable modules, unresolved decisions, and vertical-slice roadmap exists under `docs/education/migration/`.
+
+## Delivered artifacts
+
+- `00-current-state.md`
+- `01-capability-matrix.md`
+- `02-api-mapping.md`
+- `03-database-object-mapping.md`
+- `04-module-reuse-map.md`
+- `05-commit-review-11e9cc6.md`
+- `06-commit-review-0f846fd.md`
+- `07-decisions.md`
+- `08-slice-roadmap.md`
+- `09-first-slice.md`
+- `10-documentation-corrections.md`
+
+## Evidence and caveats
+
+- Investigation was read-only and multi-agent.
+- No PostgreSQL migration was executed during discovery.
+- The source baseline is provisionally `main` at `033701a`; no source `feature/education-core-loop` ref was found.
+- The target worktree is dirty and must remain protected.
+- Completing this ticket did not resolve the product and architecture decisions recorded in `07-decisions.md`.
+
+## Verification
+
+- Artifacts generated and inspected.
+- `git diff --check -- docs/education/migration` passed at delivery time.