feat(CUST-WP-0014): repo sync automation & Gitea inventory

- Migration e2f3a4b5c6d7: add last_state_synced_at to managed_repos
- consistency_check.py: PATCH last_state_synced_at after fix run;
  fix ~ treated as non-empty state_hub_task_id (C-03 vs C-11);
  fix _inject_task_id_into_block skipping injection when field exists
  with null value
- install_hooks.sh: idempotent post-commit hook installer for all
  registered repos (make install-hooks REPO= / install-hooks-all)
- gitea_inventory.py: compare coulomb Gitea org against state-hub
  registered repos — registered / unregistered / hub-only sections
- infra/README.md: document systemd user timer + crontab fallback
- systemd user timer: custodian-sync.{service,timer} runs
  fix-consistency-all every 15 min (enabled)
- dashboard/src/repo-sync.md: Repo Sync Health page — sync age table,
  unregistered Gitea repos, hub-only repos
- api/routers/repos.py: GET /repos/{slug}/dispatch endpoint returning
  active goal, pending tasks per workstream, human interventions
- mcp_server/server.py: get_repo_dispatch() MCP tool

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

dashboard/observablehq.config.js

@@ -26,6 +26,7 @@ export default {
     // ── Functional Report Views ────────────────────────────────────────────────
     { name: "Contributions", path: "/contributions" },
     { name: "SBOM",          path: "/sbom" },
+    { name: "Repo Sync",     path: "/repo-sync" },
     { name: "Progress",      path: "/progress" },
     // ── Policy ────────────────────────────────────────────────────────────────
     {