fix(storage): re-enable docs check and update linkinator

.github/workflows/storage-conformance.yaml

@@ -25,3 +25,16 @@ jobs:
       - uses: ./.github/actions/pnpm-lockfile-check
       - run: pnpm --filter ...{handwritten/storage} run --if-present compile
       - run: cd handwritten/storage && pnpm run conformance-test
+  docs-test:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@11d5960a326750d5838078e36cf38b85af677262 # v4
+        with:
+          persist-credentials: false
+      - uses: actions/setup-node@49933ea5288caeca8642d1e84afbd3f7d6820020 # v4
+        with:
+          node-version: 22
+      - run: node --version
+      - uses: ./.github/actions/pnpm-lockfile-check
+      - run: pnpm --filter ...{handwritten/storage} run --if-present compile
+      - run: cd handwritten/storage && pnpm run docs-test