fix: eradicate tailwind @apply usage in vue styles (#9146)

## Summary

Remove Tailwind `@apply` from Vue styles across `src/` and
`apps/desktop-ui/src/` to align with Tailwind v4 guidance, replacing
usages with template utilities or native CSS while preserving behavior.

## Changes

- **What**:
- Batch 1: migrated low-risk template/style utility bundles out of
`@apply`.
- Batch 2: converted PrimeVue/`:deep()` override `@apply` blocks to
native CSS declarations.
- Batch 3: converted `src/components/node/NodeHelpContent.vue` markdown
styling from `@apply` to native CSS/token-based declarations.
- Batch 4: converted final desktop pseudo-element `@apply` styles and
removed stale `@reference` directives no longer required.
- Verified `rg -n "^\s*@apply\b" src apps -g "*.vue"` has no real CSS
`@apply` directives remaining (only known template false-positive event
binding in `NodeSearchContent.vue`).

## Review Focus

- Visual parity in components that previously depended on `@apply` in
`:deep()` selectors and markdown content:
  - topbar tabs/popovers, dialogs, breadcrumb, terminal overrides
  - desktop install/dialog/update/maintenance surfaces
  - node help markdown rendering
- Confirm no regressions from removal of now-unneeded `@reference`
directives.

## Screenshots (if applicable)

- No new screenshots included in this PR.
- Screenshot Playwright suite was run with `--grep="@screenshot"` and
reports baseline diffs in this environment (164 passed, 39 failed, 3
skipped) plus a teardown `EPERM` restore error on local path
`C:\Users\DrJKL\ComfyUI\LTXV\user`.

┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-9146-fix-eradicate-tailwind-apply-usage-in-vue-styles-3116d73d3650813d8642e0bada13df32)
by [Unito](https://www.unito.io)

---------

Co-authored-by: Amp <amp@ampcode.com>
Co-authored-by: coderabbitai[bot] <136622811+coderabbitai[bot]@users.noreply.github.com>

src/components/common/FormItem.vue

@@ -117,20 +117,18 @@ function getFormComponent(item: FormItem): Component {
 </script>
 
 <style scoped>
-@reference '../../assets/css/style.css';
-
 .form-input :deep(.input-slider) .p-inputnumber input,
 .form-input :deep(.input-slider) .slider-part {
-  @apply w-20;
+  width: 5rem;
 }
 
 .form-input :deep(.input-knob) .p-inputnumber input,
 .form-input :deep(.input-knob) .knob-part {
-  @apply w-32;
+  width: 8rem;
 }
 
 .form-input :deep(.p-inputtext),
 .form-input :deep(.p-select) {
-  @apply w-44;
+  width: 11rem;
 }
 </style>

src/components/common/SearchBox.vue

@@ -133,8 +133,6 @@ const wrapperStyle = computed(() => {
 </script>
 
 <style scoped>
-@reference '../../assets/css/style.css';
-
 :deep(.p-inputtext) {
   --p-form-field-padding-x: 0.625rem;
 }

src/components/common/SearchFilterChip.vue

@@ -1,6 +1,6 @@
 <template>
-  <Chip removable @remove="$emit('remove', $event)">
-    <Badge size="small" :class="badgeClass">
+  <Chip removable @remove="emit('remove', $event)">
+    <Badge size="small" :class="semanticBadgeClass">
       {{ badge }}
     </Badge>
     {{ text }}
@@ -10,6 +10,7 @@
 <script setup lang="ts">
 import Badge from 'primevue/badge'
 import Chip from 'primevue/chip'
+import { computed } from 'vue'
 
 export interface SearchFilter {
   text: string
@@ -18,26 +19,19 @@ export interface SearchFilter {
   id: string | number
 }
 
-defineProps<Omit<SearchFilter, 'id'>>()
-defineEmits(['remove'])
+const semanticClassMap: Record<string, string> = {
+  'i-badge': 'bg-green-500 text-white',
+  'o-badge': 'bg-red-500 text-white',
+  'c-badge': 'bg-blue-500 text-white',
+  's-badge': 'bg-yellow-500'
+}
+
+const props = defineProps<Omit<SearchFilter, 'id'>>()
+const emit = defineEmits<{
+  (e: 'remove', event: Event): void
+}>()
+
+const semanticBadgeClass = computed(() => {
+  return semanticClassMap[props.badgeClass] ?? props.badgeClass
+})
 </script>
-
-<style scoped>
-@reference '../../assets/css/style.css';
-
-:deep(.i-badge) {
-  @apply bg-green-500 text-white;
-}
-
-:deep(.o-badge) {
-  @apply bg-red-500 text-white;
-}
-
-:deep(.c-badge) {
-  @apply bg-blue-500 text-white;
-}
-
-:deep(.s-badge) {
-  @apply bg-yellow-500;
-}
-</style>