refactor(validation): remove mongoose dependency and update import paths

- Removed the mongoose dependency from the validation package to streamline dependencies.
- Updated import statements in SongSearchQuery.dto.ts to reference the correct path without the file extension, enhancing consistency and maintainability.

Author: tomast1337

bun.lock

@@ -27,7 +27,6 @@
   },
   "dependencies": {
     "ms": "^2.1.3",
-    "mongoose": "^9.0.1",
     "zod": "^4.1.13",
     "zod-validation-error": "^5.0.0",
     "@nbw/config": "workspace:*"

packages/validation/package.json

@@ -1,7 +1,9 @@
 import { z } from 'zod';
 
-import { pageQueryDTOSchema } from '@nbw/validation/src';
+import { pageQueryDTOSchema } from '../common/PageQuery.dto.js';
 
-pageQueryDTOSchema.extend({
+export const songSearchQueryDTOSchema = pageQueryDTOSchema.extend({
   q: z.string().optional().default(''),
 });
+
+export type SongSearchQueryInput = z.input<typeof songSearchQueryDTOSchema>;