feat(vector): the vectored-noun scalar joins the count ledger; the open gate closes the vector leg

The coverage denominator the health-by-accounting ratification named for
the vector family — never built until now, and its absence was measured as
the exact outage class it existed to prevent: a migrated store with
canonical vectors and no derived index opened with the vector leg EMPTY,
served [] from vector search with no error, and the report-driven read gate
had nothing to refuse on (the provider's coverage invariant was honestly
unledgered — the denominator was ours to supply).

- getCanonicalCounts() gains vectors: { all } — the count of canonical
  nouns holding a REAL vector. Incremented where a vector lands (the
  isNew-gated metadata seam for explicit vectors — the same discipline that
  keeps HNSW neighbor-link re-saves from inflating counts; a narrow
  noteVectorLanded hook for the deferred-embed landing, gated on the
  worker's own pre-embed read). Decremented on a proven delete of a
  vectored noun; a vector-uncertain delete marks the ledger suspect rather
  than guessing (no new reads on the delete path). Recounted by the
  sanctioned recount; legacy counts.json derives it once (a deferred noun's
  vector file exists with an empty vector, so presence requires one
  content read at derivation — never on the hot path).
- The open gate's vector leg: when a health-reporting provider claims
  serving while the index holds zero nodes and the ledger proves vectored
  canonical rows exist, open BUILDS (narrated) — routed through the
  provider's idempotent fillFromCanonical() when exposed (the joint door;
  a partial shortfall stays repair()'s operator business), the JS rebuild
  otherwise — or fails typed pre-serve. Scoped exactly: bare isReady()
  providers, migrating providers, and white-box size stubs open as before.

Pinned end-to-end from the partner gate's probe shape (store with vectored
canonical rows, no derived index, reopen → search serves N, never []),
red-proved against the pre-fix path; the inverse (zero vectored rows) opens
without building and serves [] honestly.

tests/lifecycle/biography.test.ts

@@ -380,6 +380,12 @@ describe.sequential('lifecycle — the working store', () => {
             counted: aliveVerbs + model.vfsContainsVerbs,
             all: aliveVerbs + model.vfsContainsVerbs + model.vfsBaselineVerbs
           },
+          // Every noun this biography ever adds carries an explicit/computed
+          // vector (the harness never defers an embed), so the vectored-noun
+          // scalar tracks nouns.all exactly.
+          vectors: {
+            all: aliveEntities.length + model.vfsFileNouns + model.vfsBaselineNouns
+          },
           suspect: false
         })
       } finally {