fix(suggest): let the dropdown out of the hero panel

.heroPanel had overflow: hidden to clip its artwork and scrim to the
rounded corners. It clipped the suggestion dropdown too. Measured on
staging with the flag on: the list runs 482 to 802, the panel ends at
624 — so 178px of 320 was cut off, about half the options, with nothing
on screen to say anything was missing.

The two things that actually needed clipping now round themselves:
.heroArt gets border-radius: inherit plus its own overflow, and the
::before scrim inherits the radius. Below 860px the artwork is a band
flush with the top of the panel rather than a layer covering it, so it
takes the top two corners only — inheriting all four would leave it
floating with rounded corners against the copy.

Nothing else depended on the panel clipping: .valueProps below it is
entirely static, so a positioned dropdown paints above it without a
z-index fight.

The regression test asserts the LAST option is the element actually
painted at its own coordinates. toBeVisible() would not have caught
this — it checks for a non-empty box and visibility, and an ancestor's
overflow clips neither. elementFromPoint catches clipping and occlusion
alike.

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_015mWQnpye9F299NVRCCSRvj

e2e/tests/journeys.spec.ts

@@ -2163,6 +2163,41 @@ test('typing a school name suggests it, and choosing it opens that school', asyn
   await expect(page).toHaveURL(/\/school\/\d+/);
 });
 
+test('the whole dropdown is reachable, not clipped by the hero', async ({ page }) => {
+  /*
+   * The hero panel had overflow: hidden to clip its artwork to the rounded
+   * corners, and it clipped the dropdown too — 320px of list against 145px of
+   * panel below the input, so roughly half was cut off with nothing to say so.
+   *
+   * toBeVisible() does not catch this: it checks the box is non-empty and not
+   * visibility:hidden, and an ancestor's overflow clips neither. The invariant
+   * that does catch it is that the LAST option is the thing actually painted
+   * at its own coordinates — which fails for clipping and for occlusion alike.
+   */
+  test.skip(!(await autosuggestIsOn(page)),
+    'the school_autosuggest flag is off in this environment');
+
+  const { schools } = await (await page.request.get('/api/schools?page_size=1')).json();
+  test.skip(!schools?.length, 'no schools in this environment');
+
+  await page.goto('/');
+  await page.getByRole('combobox').first().fill(
+    (schools[0].school_name as string).slice(0, 6));
+
+  const options = page.getByRole('option');
+  await expect(options.first()).toBeVisible();
+  const count = await options.count();
+
+  const painted = await options.nth(count - 1).evaluate((el) => {
+    const r = el.getBoundingClientRect();
+    const hit = document.elementFromPoint(r.left + r.width / 2, r.top + r.height / 2);
+    return { inside: el.contains(hit) || el === hit, bottom: Math.round(r.bottom) };
+  });
+  expect(painted.inside,
+    `the last option is not painted at its own coordinates (bottom ${painted.bottom}) `
+    + '— an ancestor is clipping or covering the dropdown').toBeTruthy();
+});
+
 test('with autosuggest off, the search box is a plain input', async ({ page }) => {
   test.skip(await autosuggestIsOn(page),
     'the school_autosuggest flag is on in this environment');

nextjs-app/components/HomeView.module.css

@@ -90,7 +90,18 @@
   isolation: isolate;
   background: var(--hero-ground);
   border-radius: var(--radius-xl);
-  overflow: hidden;
+  /*
+   * Deliberately NOT overflow: hidden.
+   *
+   * It used to be, to clip the artwork and the scrim to the rounded corners —
+   * and it also clipped the search box's suggestion dropdown, which is 320px
+   * tall against 145px of panel below the input. Roughly half the list was cut
+   * off with no indication anything was missing.
+   *
+   * The two things that actually needed clipping round themselves instead, so
+   * the panel can let a dropdown out. Anything absolutely positioned inside
+   * this panel and taller than the space below it depends on this.
+   */
 }
 
 .heroContent {
@@ -107,6 +118,10 @@
   position: absolute;
   inset: 0;
   z-index: 0;
+  /* Rounds itself, because the panel no longer clips it. inset: 0 makes this
+     exactly the panel's own corners. */
+  border-radius: inherit;
+  overflow: hidden;
 }
 
 .heroArt picture,
@@ -143,6 +158,9 @@
   inset: 0;
   z-index: 1;
   pointer-events: none;
+  /* Same reason as .heroArt: the panel stopped clipping, so the scrim keeps
+     its own corners rather than squaring off over the panel's. */
+  border-radius: inherit;
   background: linear-gradient(
     to right,
     var(--hero-ground) 0%,
@@ -331,6 +349,10 @@
     position: static;
     order: -1;
     height: 13rem;
+    /* Top corners only. Here the artwork is a band flush with the top of the
+       panel, not a layer covering it — inheriting all four would leave it
+       floating with rounded bottom corners against the copy below. */
+    border-radius: var(--radius-xl) var(--radius-xl) 0 0;
   }
   /* The band crop puts the schoolhouse at 73% across — reported by
      scripts/build-hero-images.js, which derives it from the crop box rather