feat(api): implement /api/search/user endpoint

src/app/api/search/user/validation.ts

@@ -0,0 +1,20 @@
+import zod from 'zod/v4';
+import { PublicUserSchema } from '../../user/validation';
+
+export const searchUserSchema = zod.object({
+  query: zod.string().optional().default(''),
+  count: zod.coerce.number().min(1).max(100).default(10),
+  page: zod.coerce.number().min(1).default(1),
+  sort_by: zod
+    .enum(['created_at', 'name', 'first_name', 'last_name', 'id'])
+    .optional()
+    .default('created_at'),
+  sort_order: zod.enum(['asc', 'desc']).optional().default('desc'),
+});
+
+export const searchUserResponseSchema = zod.object({
+  success: zod.boolean(),
+  users: zod.array(PublicUserSchema),
+  total_count: zod.number(),
+  total_pages: zod.number(),
+});