feat(03-02): projects page with search and category filters

- Text search filtering by title, description, technologies
- Category filter buttons (UButton solid/soft variants)
- ProjectCard grid responsive 1/2/3 columns
- Empty state with reset button
- Stats: total projects, featured, categories

app/pages/projects.vue

@@ -1,5 +1,6 @@
 <script setup lang="ts">
 const { t } = useI18n()
+const { projects } = useProjects()
 
 useSeoMeta({
   title: () => t('seo.projects.title'),
@@ -11,11 +12,103 @@ useSeoMeta({
   ogImageHeight: 630,
   ogType: 'website',
 })
+
+const searchQuery = ref('')
+const selectedCategory = ref('all')
+
+const categories = computed(() => [
+  'all',
+  ...new Set(projects.value.map((p) => p.category).filter(Boolean)),
+])
+
+const filteredProjects = computed(() => {
+  let result = projects.value
+
+  if (searchQuery.value) {
+    const query = searchQuery.value.toLowerCase()
+    result = result.filter(
+      (project) =>
+        project.title.toLowerCase().includes(query) ||
+        project.description.toLowerCase().includes(query) ||
+        project.technologies.some((tech) => tech.toLowerCase().includes(query)),
+    )
+  }
+
+  if (selectedCategory.value !== 'all') {
+    result = result.filter((project) => project.category === selectedCategory.value)
+  }
+
+  return result
+})
+
+const totalProjects = computed(() => projects.value.length)
+const featuredCount = computed(() => projects.value.filter((p) => p.featured).length)
+
+function resetFilters() {
+  searchQuery.value = ''
+  selectedCategory.value = 'all'
+}
 </script>
 
 <template>
   <div class="max-w-7xl mx-auto px-4 sm:px-6 lg:px-8 py-12">
-    <h1 class="text-2xl font-bold">{{ t('nav.projects') }}</h1>
+    <!-- Hero -->
-    <p class="text-gray-600 dark:text-gray-400 mt-4">Phase 3 content placeholder</p>
+    <div class="text-center mb-12">
+      <h1 class="text-4xl font-bold mb-4">{{ t('projects.title') }}</h1>
+      <p class="text-lg text-muted max-w-2xl mx-auto">{{ t('projects.subtitle') }}</p>
+
+      <!-- Stats -->
+      <div class="flex justify-center gap-8 mt-8">
+        <div class="text-center">
+          <p class="text-3xl font-bold text-primary">{{ totalProjects }}</p>
+          <p class="text-sm text-muted">{{ t('nav.projects') }}</p>
+        </div>
+        <div class="text-center">
+          <p class="text-3xl font-bold text-primary">{{ featuredCount }}</p>
+          <p class="text-sm text-muted">{{ t('home.featuredProjects.title') }}</p>
+        </div>
+        <div class="text-center">
+          <p class="text-3xl font-bold text-primary">{{ categories.length - 1 }}</p>
+          <p class="text-sm text-muted">{{ t('projects.categories.all') }}</p>
+        </div>
+      </div>
+    </div>
+
+    <!-- Filters -->
+    <div class="flex flex-col sm:flex-row gap-4 items-center mb-8">
+      <UInput
+        v-model="searchQuery"
+        icon="i-lucide-search"
+        :placeholder="t('common.search') + '...'"
+        class="w-full sm:w-80"
+      />
+
+      <div class="flex flex-wrap gap-2">
+        <UButton
+          v-for="category in categories"
+          :key="category"
+          :variant="selectedCategory === category ? 'solid' : 'soft'"
+          size="sm"
+          @click="selectedCategory = category"
+        >
+          {{ category === 'all' ? t('projects.categories.all') : t(`projects.categories.${category.replace(/\s+/g, '').toLowerCase()}`) || category }}
+        </UButton>
+      </div>
+    </div>
+
+    <!-- Projects Grid -->
+    <div v-if="filteredProjects.length > 0" class="grid grid-cols-1 md:grid-cols-2 lg:grid-cols-3 gap-6">
+      <ProjectCard v-for="project in filteredProjects" :key="project.id" :project="project" />
+    </div>
+
+    <!-- Empty State -->
+    <div v-else class="text-center py-16">
+      <UIcon name="i-lucide-search-x" class="text-4xl text-muted mb-4" />
+      <h3 class="text-lg font-semibold mb-2">{{ t('projects.noResults.title') }}</h3>
+      <p class="text-muted mb-6">{{ t('projects.noResults.description') }}</p>
+      <UButton @click="resetFilters" variant="soft">
+        {{ t('common.reset') }}
+      </UButton>
+    </div>
   </div>
 </template>