feat(housekeeping): add global command deck search

src/features/housekeeping/foundation/shell/housekeeping-shell.test.tsx

@@ -1,17 +1,31 @@
 import { readFileSync } from "node:fs";
 import { resolve } from "node:path";
 import { renderToStaticMarkup } from "react-dom/server";
-import { describe, expect, it } from "vitest";
+import { describe, expect, it, vi } from "vitest";
 import type { HousekeepingNavigationDomain } from "../navigation";
 import { HousekeepingShell } from "./housekeeping-shell";
 
+vi.mock("@/actions/housekeeping-search", () => ({
+	executeHousekeepingSearch: vi.fn(),
+}));
+
 const labels = {
 	skipToContent: "Skip to housekeeping content",
 	primaryNavigation: "Primary housekeeping navigation",
 	contextualNavigation: "Operations navigation",
-	command: "Commands are unavailable in preview",
+	command: "Search housekeeping",
 	preview: "Preview",
 	backToSite: "Back to site",
+	commandDeck: {
+		placeholder: "Search navigation, commands, and entities",
+		navigation: "Navigation",
+		commands: "Commands",
+		entities: "Entities",
+		loading: "Searching…",
+		empty: "No results",
+		partial: "Some providers are unavailable",
+		close: "Close",
+	},
 };
 
 const domains: readonly HousekeepingNavigationDomain[] = [
@@ -185,9 +199,9 @@ describe("HousekeepingShell", () => {
 		expect(html).toContain(">Preview<");
 		expect(html).toContain('href="/"');
 		expect(html).toContain(">Back to site<");
-		expect(html).toMatch(
-			/<button type="button" disabled=""[^>]*>Commands are unavailable in preview<\/button>/,
-		);
+		expect(html).toContain('aria-haspopup="dialog"');
+		expect(html).toContain(">Search housekeeping<");
+		expect(html).not.toContain('disabled=""');
 	});
 
 	it("maps all six authorized icons and exactly one active domain", () => {