test(e2e): cover global back/forward, including the launch entry

Five journeys the control has to get right: nothing offered at the root
in either direction, walking both ways with the availability changing
as it goes, reaching the detail view a tab click left behind (which is
the report), the forward list being dropped when the user navigates
from the middle, and the control standing down below 900px.

The first fails on the build before the launch entry was fixed --
enabled, and doing nothing when pressed. It is the assertion that pins
that defect, which otherwise has no visible symptom on desktop at all.

e2e/specs/back-navigation.spec.ts

@@ -79,6 +79,114 @@ async function openAnArtist(app: Page): Promise<void> {
   );
 }
 
+/**
+ * The global back/forward control (#6).
+ *
+ * It is desktop chrome — hidden below 900px, where the sidebar has
+ * already given up its labels — so these set a desktop viewport
+ * explicitly rather than trusting the runner's default.
+ */
+const DESKTOP = { width: 1280, height: 800 };
+
+const backButton = (page: Page) =>
+  page.locator('nav-history').getByRole('button', { name: 'Back' });
+
+const forwardButton = (page: Page) =>
+  page.locator('nav-history').getByRole('button', { name: 'Forward' });
+
+test.describe('global back and forward', () => {
+  test.beforeEach(async ({ app }) => {
+    await app.setViewportSize(DESKTOP);
+  });
+
+  test('offers nothing at launch, in either direction', async ({ app }) => {
+    // The launch entry is *replaced*, not pushed, so there is nothing
+    // of ours behind it — and a Back button that is live at the root
+    // is a press that does nothing on desktop and, on Android, the
+    // press that should have exited the app (#142). This assertion is
+    // what pins that: it failed before the launch navigation stopped
+    // recording two entries.
+    await expect(backButton(app)).toBeDisabled();
+    await expect(forwardButton(app)).toBeDisabled();
+  });
+
+  test('walks the history in both directions, and says which are available', async ({
+    app,
+  }) => {
+    await app.getByTestId('nav-albums').click();
+    await expect(activeView(app)).toHaveAttribute('data-active-view', 'albums');
+    await expect(backButton(app)).toBeEnabled();
+    await expect(forwardButton(app)).toBeDisabled();
+
+    await app.getByTestId('nav-tracks').click();
+    await expect(activeView(app)).toHaveAttribute('data-active-view', 'tracks');
+
+    await backButton(app).click();
+
+    await expect(activeView(app)).toHaveAttribute('data-active-view', 'albums');
+    // Standing in the middle of the list: both directions live, which
+    // is the state a single depth counter cannot express.
+    await expect(backButton(app)).toBeEnabled();
+    await expect(forwardButton(app)).toBeEnabled();
+
+    await forwardButton(app).click();
+
+    await expect(activeView(app)).toHaveAttribute('data-active-view', 'tracks');
+    await expect(forwardButton(app)).toBeDisabled();
+  });
+
+  test('reaches the detail view a tab click left behind', async ({ app }) => {
+    // The report, exactly: the album is one entry away the whole time,
+    // and before this control the only way back to it was a button
+    // that had gone off screen with the view it belonged to.
+    await app.getByTestId('nav-artists').click();
+    await openAnArtist(app);
+
+    await app.getByTestId('nav-tracks').click();
+    await expect(activeView(app)).toHaveAttribute('data-active-view', 'tracks');
+
+    await backButton(app).click();
+
+    await expect(activeView(app)).toHaveAttribute(
+      'data-active-view',
+      'explore-artist-details',
+    );
+  });
+
+  test('drops the forward list when the user navigates from the middle', async ({
+    app,
+  }) => {
+    await app.getByTestId('nav-albums').click();
+    await app.getByTestId('nav-tracks').click();
+    await backButton(app).click();
+    await expect(forwardButton(app)).toBeEnabled();
+
+    // A browser truncates here, and so does this: what was ahead is no
+    // longer reachable, and a Forward button still offering it would
+    // be pointing at an entry that has been overwritten.
+    await app.getByTestId('nav-genres').click();
+
+    await expect(activeView(app)).toHaveAttribute('data-active-view', 'genres');
+    await expect(forwardButton(app)).toBeDisabled();
+    await expect(backButton(app)).toBeEnabled();
+  });
+
+  test('is absent below the desktop band, where nothing needs it', async ({
+    app,
+  }) => {
+    // Alt+Left/Right survive at every width, the detail views keep
+    // their own back buttons and the phone has the platform's gesture
+    // — so this is a control standing down, not an action becoming
+    // unreachable. It is hidden at 899 because the top bar is what
+    // runs out of room first below 900 (#143).
+    await app.setViewportSize({ width: 899, height: 600 });
+    await expect(app.locator('nav-history')).toBeHidden();
+
+    await app.setViewportSize({ width: 390, height: 844 });
+    await expect(app.locator('nav-history')).toBeHidden();
+  });
+});
+
 test.describe('the back gesture', () => {
   test('leaves a detail view for the view it was opened from', async ({
     app,