fix(search): desktop Clear all keeps the search

The desktop toolbar's Clear went to the bare home URL, dropping the
search along with the filters, so it landed on the home page instead of
the unfiltered results. It now clears every filter and keeps the search,
postcode and distance, as the phone's Clear all already did. It is
offered only once a filter is applied, since with only a search there is
nothing for it to clear, and is labelled Clear all to match the phone.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

e2e/tests/journeys.spec.ts

@@ -309,6 +309,19 @@ test('school type and gender switch straight to another value', async ({ page })
  * School type offers six groups a parent recognises, and Faith sits beside it.
  * Data-invariant: asserts what every returned school is, never how many.
  */
+// Clear all once dropped the search with the filters, which sent desktop back
+// to the home page instead of to the unfiltered results.
+test('Clear all removes the filters and keeps the search', async ({ page }) => {
+  await page.goto('/?search=school&phase=primary');
+  const row = page.getByRole('group', { name: 'Filters', exact: true });
+  await expect(schoolLinks(page).first()).toBeVisible({ timeout: 15_000 });
+  await row.getByRole('button', { name: 'Clear all', exact: true }).click();
+  await expect(page).not.toHaveURL(/[?&]phase=/);
+  await expect(page).toHaveURL(/[?&]search=school(&|$)/);
+  await expect(schoolLinks(page).first()).toBeVisible();
+  await expect(row.getByRole('button', { name: 'Clear all', exact: true })).toHaveCount(0);
+});
+
 test('school type groups and the faith filter narrow to what they name', async ({ page }) => {
   await page.goto('/?search=school');
   const type = page.getByRole('combobox', { name: 'School type', exact: true });

nextjs-app/__tests__/components/ResultsToolbar.test.tsx

@@ -1,4 +1,4 @@
-import { act, fireEvent, render, screen } from '@testing-library/react';
+import { act, fireEvent, render, screen, within } from '@testing-library/react';
 import { HomeView } from '@/components/HomeView';
 import { FilterBar } from '@/components/FilterBar';
 import { fetchSchools } from '@/lib/api';
@@ -175,3 +175,24 @@ describe('the results list', () => {
     expect(screen.queryByText('Search: southmead')).not.toBeInTheDocument();
   });
 });
+
+describe('the desktop Clear all', () => {
+  const row = () => screen.getByRole('group', { name: 'Filters' });
+
+  it('removes the filters and keeps the search, rather than going home', () => {
+    params = new URLSearchParams('postcode=SW196AR&radius=3&phase=primary&school_type=council&local_authority=Wandsworth');
+    render(<FilterBar filters={filters} />);
+    fireEvent.click(within(row()).getByRole('button', { name: 'Clear all' }));
+    const pushed = push.mock.calls.at(-1)![0] as string;
+    const next = new URLSearchParams(pushed.split('?')[1]);
+    expect(next.get('postcode')).toBe('SW196AR');
+    expect(next.get('radius')).toBe('3');
+    for (const key of ['phase', 'school_type', 'local_authority']) expect(next.get(key)).toBeNull();
+  });
+
+  it('is not offered when only a search is applied', () => {
+    params = new URLSearchParams('search=southmead');
+    render(<FilterBar filters={filters} />);
+    expect(within(row()).queryByRole('button', { name: /^Clear/ })).not.toBeInTheDocument();
+  });
+});

nextjs-app/components/FilterBar.tsx

@@ -377,31 +377,13 @@ export function FilterBar({
     updateURL({ ...cleared, [key]: value });
   };
 
-  // Every filter at once, keeping the search and its distance: what "Clear
+  // Every filter at once, keeping the search and its distance. The search is
-  // all" means beside the applied filters, where the search is not one of them.
+  // what the results answer, not a filter on them: clearing it too used to
+  // send desktop back to the home page.
   const handleClearFilterValues = () => {
     updateURL(Object.fromEntries(FILTER_KEYS.map((k) => [k, ""])));
   };
 
-  const handleClearFilters = () => {
-    setOmniValue("");
-    pendingQueryRef.current = "";
-    startTransition(() => {
-      router.push(pathname);
-    });
-  };
-
-  const hasActiveFilters =
-    currentSearch ||
-    currentLA ||
-    currentType ||
-    currentFaith ||
-    currentPhase ||
-    currentPostcode ||
-    currentGender ||
-    currentAdmissionsPolicy ||
-    currentHasSixthForm;
-
   /*
    * A filter's options come from the full lists, not from the results: the
    * results have already been narrowed by that filter, so scoping to them
@@ -844,14 +826,14 @@ export function FilterBar({
               />
             </button>
 
-            {hasActiveFilters && (
+            {appliedCount > 0 && (
               <button
-                onClick={handleClearFilters}
+                onClick={handleClearFilterValues}
                 className={`btn btn-tertiary ${styles.clearButton}`}
                 type="button"
                 disabled={isPending}
               >
-                Clear
+                Clear all
               </button>
             )}
           </div>