feat(locks): show a lock indicator on the lane card (D)

client/src/lib/api.ts

@@ -2014,6 +2014,17 @@ export const api = {
         body: JSON.stringify(body),
       }),
   },
+
+  // ──────────────────────────────── Locks API ────────────────────────────────
+  /** Named locks across all lanes: used for serialization and gating.
+   *  Maps to `server/routes/locks.js`. */
+  locks: {
+    /**
+     * GET /api/locks — list all active named locks and their holders.
+     * @returns `{ locks }` — all {@link NamedLock} records.
+     */
+    list: (): Promise<{ locks: NamedLock[] }> => request<{ locks: NamedLock[] }>("/locks"),
+  },
 };
 
 // ─────────────────────────────────────────────────────────────────────────────

client/src/lib/types.ts

@@ -2370,6 +2370,14 @@ export interface LaneRuntimeService {
   alive: boolean;
 }
 
+/** A named lock held by a lane. */
+export interface NamedLock {
+  name: string;
+  holder: string;
+  since: number;
+  ageSec: number;
+}
+
 /**
  * What is actually running for a lane, recomputed by the server on every read
  * rather than cached — a process can die without telling anyone.