ci: revert committed docs-website lockfile and npm ci (#11815)

Co-authored-by: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

Author: julian-risch

.github/workflows/docs_search_sync.yml

@@ -36,7 +36,7 @@ jobs:
       - name: Install Docusaurus and build docs-website
         working-directory: docs-website
         run: |
-          npm ci --ignore-scripts
+          npm install --ignore-scripts
           npm rebuild sharp
           npm run build
 

docs-website/.gitignore

@@ -9,6 +9,7 @@
 
 node_modules
 .yarn
+package-lock.json
 
 .eslintcache