feat(browse): icône crayon inline sur les tuiles + apiCount récursif

- Bouton modifier réduit à l'icône crayon, placé à côté du titre de la tuile
- apiCount dans CategoryWithCounts inclut désormais les APIs de tous les
  sous-dossiers récursivement (countApisRecursively)

Generated with [Claude Code](https://claude.ai/code)
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

@@ -81,6 +81,13 @@ export class CategoriesService {
     await this.categoryRepo.delete(id);
   }
 
+  private async countApisRecursively(categoryId: string): Promise<number> {
+    const direct = await this.apiRepo.count({ where: { categoryId } });
+    const children = await this.categoryRepo.find({ where: { parentId: categoryId }, select: ['id'] });
+    const childCounts = await Promise.all(children.map((c) => this.countApisRecursively(c.id)));
+    return direct + childCounts.reduce((sum, n) => sum + n, 0);
+  }
+
   async browse(categoryId: string | null): Promise<CategoryBrowseResponse> {
     /* 1. Charge la catégorie courante */
     let currentCategory: CategoryEntity | null = null;
@@ -111,7 +118,7 @@ export class CategoriesService {
     const subcategories: CategoryWithCounts[] = await Promise.all(
       directChildren.map(async (child) => {
         const subcategoryCount = await this.categoryRepo.count({ where: { parentId: child.id } });
-        const apiCount = await this.apiRepo.count({ where: { categoryId: child.id } });
+        const apiCount = await this.countApisRecursively(child.id);
         return { ...toCategory(child), subcategoryCount, apiCount };
       }),
     );