feat: unify search components by replacing SearchBox/SearchBoxV2 with SearchInput (#9644)

## Summary

Replace legacy `SearchBox` (PrimeVue) and `SearchBoxV2` with the unified
`SearchInput` (reka-ui) component across all consumers.

## Changes

- **What**: Remove `SearchBox.vue`, `SearchBoxV2.vue`, their tests and
stories. Migrate all 14 consumers to `SearchInput`. Move layout classes
to `ComboboxRoot` for proper flex sizing. Extract filter button/chips in
`NodeLibrarySidebarTab`. Standardize modal search width to `flex-1
max-w-lg`.
- **Dependencies**: None new — `SearchInput` already existed using
reka-ui

## Review Focus

- `NodeLibrarySidebarTab.vue`: filter button and `SearchFilterChip`
rendering moved outside the search component
- `SearchInput.vue`: `className` now applied to `ComboboxRoot` instead
of `ComboboxAnchor` for correct flex layout
- Modal dialogs (`WorkflowTemplateSelectorDialog`, `AssetBrowserModal`,
`SampleModelSelector`) unified to `flex-1 max-w-lg`

┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-9644-feat-unify-search-components-by-replacing-SearchBox-SearchBoxV2-with-SearchInput-31e6d73d365081ebac55cb265f33b631)
by [Unito](https://www.unito.io)

---------

Co-authored-by: Amp <amp@ampcode.com>
Co-authored-by: github-actions <github-actions@github.com>

src/platform/assets/components/AssetBrowserModal.vue

@@ -26,12 +26,12 @@
         class="flex w-full items-center justify-between gap-2"
         @click.self="focusedAsset = null"
       >
-        <SearchBox
+        <SearchInput
           v-model="searchQuery"
           :autofocus="true"
           size="lg"
           :placeholder="$t('g.searchPlaceholder', { subject: '' })"
-          class="max-w-96"
+          class="max-w-lg flex-1"
         />
         <Button
           v-if="isUploadButtonEnabled"
@@ -88,7 +88,7 @@ import { breakpointsTailwind, useBreakpoints } from '@vueuse/core'
 import { computed, provide, ref } from 'vue'
 import { useI18n } from 'vue-i18n'
 
-import SearchBox from '@/components/common/SearchBox.vue'
+import SearchInput from '@/components/ui/search-input/SearchInput.vue'
 import Button from '@/components/ui/button/Button.vue'
 import BaseModalLayout from '@/components/widget/layout/BaseModalLayout.vue'
 import LeftSidePanel from '@/components/widget/panel/LeftSidePanel.vue'

src/platform/assets/components/MediaAssetFilterBar.vue

@@ -1,6 +1,6 @@
 <template>
   <div class="flex items-center gap-3">
-    <SearchBox
+    <SearchInput
       :model-value="searchQuery"
       :placeholder="
         $t('g.searchPlaceholder', { subject: $t('sideToolbar.labels.assets') })
@@ -37,7 +37,7 @@
 </template>
 
 <script setup lang="ts">
-import SearchBox from '@/components/common/SearchBox.vue'
+import SearchInput from '@/components/ui/search-input/SearchInput.vue'
 import { isCloud } from '@/platform/distribution/types'
 
 import MediaAssetFilterButton from './MediaAssetFilterButton.vue'

src/platform/settings/components/ExtensionPanel.vue

@@ -1,6 +1,6 @@
 <template>
   <div class="extension-panel flex flex-col gap-2">
-    <SearchBox
+    <SearchInput
       v-model="filters['global'].value"
       :placeholder="$t('g.searchPlaceholder', { subject: $t('g.extensions') })"
     />
@@ -92,7 +92,7 @@ import ToggleSwitch from 'primevue/toggleswitch'
 import { computed, onMounted, ref } from 'vue'
 import { useI18n } from 'vue-i18n'
 
-import SearchBox from '@/components/common/SearchBox.vue'
+import SearchInput from '@/components/ui/search-input/SearchInput.vue'
 import Button from '@/components/ui/button/Button.vue'
 import { useSettingStore } from '@/platform/settings/settingStore'
 import { useExtensionStore } from '@/stores/extensionStore'

src/platform/settings/components/SettingDialog.vue

@@ -7,7 +7,7 @@
 
     <template #leftPanel>
       <div class="px-3">
-        <SearchBox
+        <SearchInput
           v-model:model-value="searchQuery"
           size="md"
           :placeholder="$t('g.searchSettings') + '...'"
@@ -71,7 +71,7 @@
 <script setup lang="ts">
 import { computed, nextTick, onBeforeUnmount, provide, ref, watch } from 'vue'
 
-import SearchBox from '@/components/common/SearchBox.vue'
+import SearchInput from '@/components/ui/search-input/SearchInput.vue'
 import CurrentUserMessage from '@/components/dialog/content/setting/CurrentUserMessage.vue'
 import BaseModalLayout from '@/components/widget/layout/BaseModalLayout.vue'
 import NavItem from '@/components/widget/nav/NavItem.vue'

src/platform/workspace/components/dialogs/settings/MembersPanelContent.vue

@@ -32,7 +32,7 @@
           v-if="uiConfig.showSearch && !isSingleSeatPlan"
           class="flex items-start gap-2"
         >
-          <SearchBox
+          <SearchInput
             v-model="searchQuery"
             :placeholder="$t('g.search')"
             size="lg"
@@ -367,7 +367,7 @@ import { useToast } from 'primevue/usetoast'
 import { computed, ref } from 'vue'
 import { useI18n } from 'vue-i18n'
 
-import SearchBox from '@/components/common/SearchBox.vue'
+import SearchInput from '@/components/ui/search-input/SearchInput.vue'
 import UserAvatar from '@/components/common/UserAvatar.vue'
 import Button from '@/components/ui/button/Button.vue'
 import { useCurrentUser } from '@/composables/auth/useCurrentUser'