test(search): add url-targetable pagefind browser regression

Cover the Native Support filter with a Playwright-backed Vitest case
that can boot the local dev server or attach to a deployed URL so the
same regression can gate post-deploy verification.

pnpm-lock.yaml

@@ -231,6 +231,9 @@ importers:
       npm-run-all:
         specifier: ^4.1.5
         version: 4.1.5
+      playwright-core:
+        specifier: ^1.58.2
+        version: 1.58.2
       postcss:
         specifier: ^8.2.4
         version: 8.2.4
@@ -6004,6 +6007,11 @@ packages:
   pkg-types@1.3.1:
     resolution: {integrity: sha512-/Jm5M4RvtBFVkKWRu2BLUTNP8/M2a+UwuAX+ae4770q1qVGtfjG+WTCupoZixokjmHiry8uI+dlY8KXYV5HVVQ==}
 
+  playwright-core@1.58.2:
+    resolution: {integrity: sha512-yZkEtftgwS8CsfYo7nm0KE8jsvm6i/PTgVtB8DL726wNf6H2IMsDuxCpJj59KDaxCtSnrWan2AeDqM7JBaultg==}
+    engines: {node: '>=18'}
+    hasBin: true
+
   plist@3.0.1:
     resolution: {integrity: sha512-GpgvHHocGRyQm74b6FWEZZVRroHKE1I0/BTjAmySaohK+cUn+hZpbqXkc3KWgW3gQYkqcQej35FohcT0FRlkRQ==}
     engines: {node: '>=6'}
@@ -14716,6 +14724,8 @@ snapshots:
       mlly: 1.8.1
       pathe: 2.0.3
 
+  playwright-core@1.58.2: {}
+
   plist@3.0.1:
     dependencies:
       base64-js: 1.5.1