fix(search): correction recherche fuzzy catégories

- Backend : seuil word_similarity >= 0.4 (au lieu de > 0.4) sur cat.name
- Frontend : correction erreur TypeScript dans CategoryService.list()
  (params typé Record<string,string> pour satisfaire Angular HttpClient)
  — le code précédent ne compilait pas, la recherche était ignorée

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via [Happy](https://happy.engineering)

Co-Authored-By: Claude <noreply@anthropic.com>
Co-Authored-By: Happy <yesreply@happy.engineering>

back/src/modules/categories/categories.service.ts

@@ -22,7 +22,26 @@ export class CategoriesService {
     private readonly apiRepo: Repository<ApiEntryEntity>,
   ) {}
 
-  async findAll(): Promise<CategoryListResponse> {
+  async findAll(search?: string): Promise<CategoryListResponse> {
+    if (search?.trim()) {
+      const text = search.trim();
+      const entities = await this.categoryRepo
+        .createQueryBuilder('cat')
+        .where(
+          `(
+            cat.name        ILIKE :likeText
+            OR COALESCE(cat.description, '') ILIKE :likeText
+            OR word_similarity(:text, cat.name) >= 0.4
+            OR word_similarity(:text, COALESCE(cat.description, '')) > 0.5
+          )`,
+          { likeText: `%${text}%`, text },
+        )
+        .orderBy('cat.order_index', 'ASC')
+        .addOrderBy('cat.name', 'ASC')
+        .getMany();
+      return { items: entities.map(toCategory) };
+    }
+
     const entities = await this.categoryRepo.find({
       order: { orderIndex: 'ASC', name: 'ASC' },
     });

front-public/src/app/core/category.service.ts

@@ -12,8 +12,10 @@ export class CategoryService {
   private http = inject(HttpClient);
   private baseUrl = '/api/categories';
 
-  list(): Observable<CategoryListResponse> {
+  list(search?: string): Observable<CategoryListResponse> {
-    return this.http.get<CategoryListResponse>(this.baseUrl);
+    const params: Record<string, string> = {};
+    if (search?.trim()) params['search'] = search;
+    return this.http.get<CategoryListResponse>(this.baseUrl, { params });
   }
 
   browse(id: string | null): Observable<CategoryBrowseResponse> {