Redesign header: single row with unified search block

- Merge two rows into one: logo + search block + icons
- Search block now contains input and chips together
- Input is bigger with larger tokens
- Remove hero section from landing page
- Update padding to match new header height

app/pages/index.vue

@@ -1,38 +1,5 @@
 <template>
   <Stack gap="12">
-    <!-- Hero with search -->
-    <Section variant="plain">
-      <Stack gap="6" align="center">
-        <Heading :level="1">{{ $t('searchPage.hero.title') }}</Heading>
-        <Text tone="muted" align="center" class="max-w-lg">
-          {{ $t('searchPage.hero.subtitle') }}
-        </Text>
-        <div class="flex flex-wrap justify-center gap-4 mt-4">
-          <button
-            class="btn btn-lg btn-primary gap-2"
-            @click="startSelect('product')"
-          >
-            <Icon name="lucide:package" size="24" />
-            {{ $t('catalog.filters.product') }}
-          </button>
-          <button
-            class="btn btn-lg btn-outline gap-2"
-            @click="startSelect('supplier')"
-          >
-            <Icon name="lucide:factory" size="24" />
-            {{ $t('catalog.filters.supplier') }}
-          </button>
-          <button
-            class="btn btn-lg btn-outline gap-2"
-            @click="startSelect('hub')"
-          >
-            <Icon name="lucide:map-pin" size="24" />
-            {{ $t('catalog.filters.hub') }}
-          </button>
-        </div>
-      </Stack>
-    </Section>
-
     <!-- How it works -->
     <Section variant="plain">
       <Stack gap="6" align="center">
@@ -123,6 +90,4 @@
 definePageMeta({
   layout: 'topnav'
 })
-
-const { startSelect } = useCatalogSearch()
 </script>