feat(e24): reach the Home surface — the landing toggle, a palette command, Shift+W

S4's reachability half. Home already led the nav order; what was missing was every
way IN other than the rail.

- Settings → Appearance → Startup: "Start on Home", the documented escape hatch for
  the landing override. Deliberately still localStorage and not a server pref —
  `loadInitialPage` answers before /api/me lands, and a landing module decided after
  the first paint is a visible jump. Its two stored values are now ONE exported
  constant, so the writer and the boot-time reader cannot drift on a magic string.
- The command palette gets "Meglepetés" / "Surprise me": it navigates to Home and
  rerolls the hero on arrival. No second "Mit nézzek?" row beside it — the Home
  module row already matches that phrase through its descriptive title.
- A global Shift+W jumps to Home. A chord, not a bare `w`: the Plex player binds bare
  letters and `w` sits on `s`, so a blind reach for the subtitle key would have thrown
  a viewer out of the film.

The palette's request crosses a lazy module boundary, so it is a token that waits
(lib/homeIntent) rather than an event fired into an empty room. Browser-measured:
taken with a compare-and-clear, because StrictMode's double-invoked mount effect
otherwise rerolled twice and landed on the page two picks deep.

HU/EN parity kept; UAT on localdev in both languages, including the empty shelf.

frontend/src/components/Home.dom.test.tsx

@@ -9,6 +9,7 @@
 //     identical card straight back and the button looks dead.
 // i18n is key-passthrough; the api is mocked so queries resolve synchronously. The rails live inside
 // a Carousel (useHScroll → ResizeObserver), stubbed for jsdom.
+import { StrictMode } from "react";
 import { describe, it, expect, afterEach, beforeAll, beforeEach, vi } from "vitest";
 import { render, screen, fireEvent, cleanup, waitFor } from "@testing-library/react";
 import { QueryClient, QueryClientProvider } from "@tanstack/react-query";
@@ -63,6 +64,7 @@ vi.mock("./PlexProvider", () => ({
 }));
 
 import Home from "./Home";
+import { requestSurprise, takeSurprise } from "../lib/homeIntent";
 
 function ytCard(id: string, title: string, extra: Record<string, unknown> = {}) {
   return {
@@ -155,6 +157,8 @@ beforeEach(() => {
   setPage.mockReset();
   setJumpTo.mockReset();
   discover.mockResolvedValue(payload("v1"));
+  // Module-level state: a token left behind by one test would reroll the next one's first render.
+  takeSurprise();
 });
 afterEach(cleanup);
 
@@ -219,6 +223,51 @@ describe("Home", () => {
     expect(screen.getByText("Hero v1")).toBeTruthy();
   });
 
+  // E24 S4. The palette's "Meglepetés" is pressed on ANOTHER page, so Home's lazy chunk is not
+  // mounted yet — the request has to WAIT as a token rather than fire into an empty room. And it
+  // must be spent: a token that survived would make a later visit reroll on its own, which reads as
+  // the page overruling the answer you came back for.
+  it("acts on a pending surprise request once, and never replays it", async () => {
+    discoverPick.mockResolvedValue({
+      budget: "any",
+      hero: { tier: "surprise", card: ytCard("v9", "Rerolled") },
+    });
+    requestSurprise();
+    const first = mount();
+    expect(await screen.findByText("Rerolled")).toBeTruthy();
+    expect(discoverPick).toHaveBeenCalledTimes(1);
+
+    first.unmount();
+    discoverPick.mockClear();
+    mount();
+    await screen.findByText("Hero v1");
+    expect(discoverPick).not.toHaveBeenCalled();
+  });
+
+  // Measured in the browser (2026-09-07), before the fix: the palette's "Meglepetés" arrived at Home
+  // as `start=2` — two picks deep before the page had painted once — because StrictMode invokes a
+  // mount effect twice with the same render snapshot, and a reroll is not idempotent. The token is
+  // taken with a compare-and-clear against the LIVE store, which is what makes the second pass moot.
+  it("does not reroll twice under StrictMode's double-invoked mount effect", async () => {
+    discoverPick.mockResolvedValue({
+      budget: "any",
+      hero: { tier: "surprise", card: ytCard("v9", "Rerolled") },
+    });
+    requestSurprise();
+    const qc = new QueryClient({ defaultOptions: { queries: { retry: false } } });
+    render(
+      <StrictMode>
+        <QueryClientProvider client={qc}>
+          <Home />
+        </QueryClientProvider>
+      </StrictMode>,
+    );
+    expect(await screen.findByText("Rerolled")).toBeTruthy();
+    expect(discoverPick).toHaveBeenCalledTimes(1);
+    // …and on the press count the server reads as "which tier answers first".
+    expect(discoverPick).toHaveBeenCalledWith("any", expect.any(Number), [], 1);
+  });
+
   it("says the shelf is empty rather than hiding it", async () => {
     mount();
     expect(await screen.findByText("home.comfort.empty")).toBeTruthy();