feature/search-prototype (#1)

### Description
This pull request migrates to Nuxt 4.0.0, adds docker, and uses Orval and OpenAPI 3.0 specification to interact with backend

Reviewed-on: #1
Co-authored-by: bivashy <botyrbojey@gmail.com>
Co-committed-by: bivashy <botyrbojey@gmail.com>

app/pages/search.vue

@@ -0,0 +1,52 @@
+<script setup lang="ts">
+import { AnimeCard } from '~/components/ui/anime-card'
+import { search, type Result } from '~/openapi/search'
+
+const route = useRoute()
+const searchQuery = ref(route.query.title as string || '')
+
+const results = ref<Result[]>([])
+const isLoading = ref(false)
+const error = ref<unknown>(null)
+
+watchEffect(async () => {
+    if (!searchQuery.value) return
+
+    try {
+        isLoading.value = true
+        error.value = null
+        const response = await search({ title: searchQuery.value })
+        results.value = response.data.results || []
+    } catch (err) {
+        error.value = err
+        console.error('Search failed:', err)
+    } finally {
+        isLoading.value = false
+    }
+}, {
+    flush: 'post'
+})
+</script>
+
+<template>
+    <div>
+        <div v-if="isLoading">
+            Loading results...
+        </div>
+
+        <div v-if="error">
+            Error loading results: {{ error }}
+        </div>
+
+        <div v-if="results.length > 0"
+            class="grid grid-cols-[repeat(auto-fill,16rem)] justify-around gap-8 grid-flow-row">
+            <div v-for="item in results" :key="item.id" class="flex w-[16rem]">
+                <AnimeCard :item="item" />
+            </div>
+        </div>
+
+        <div v-if="!isLoading && !error && results.length === 0 && searchQuery">
+            No results found for "{{ searchQuery }}"
+        </div>
+    </div>
+</template>