feat: add normalized public search filters

Add strict public search numeric validation and URL-backed category and price filters to the catalog UI.

apps/api/tests/http/public-search-routes.test.js

@@ -32,4 +32,17 @@ test('returns public search results with pagination metadata', async (testContex
     totalPages: 2,
   });
   assert.equal(response.json().data.items[0].id, 'listing-1');
+});
+
+test('rejects malformed numeric search filters', async (testContext) => {
+  const app = buildApp({ searchService: { async searchPublic() { throw new Error('should not run'); } } });
+  testContext.after(() => app.close());
+
+  const response = await app.inject({
+    method: 'GET',
+    url: '/api/v1/public/search?minPriceMinor=12.5',
+  });
+
+  assert.equal(response.statusCode, 400);
+  assert.equal(response.json().error.code, 'INVALID_SEARCH_FILTER');
 });