fix: correct cache paths and improve dependency installation in GitHub Actions workflow

Author: ptthanh02

.github/workflows/deploy-docs.yml

@@ -28,6 +28,7 @@ jobs:
           node-version: 20
           # 🟢 Cache npm dependencies
           cache: 'npm'
+          cache-dependency-path: 'docs/package-lock.json'
 
       - name: Setup Pages
         uses: actions/configure-pages@v4
@@ -45,9 +46,7 @@ jobs:
       - name: Cache Astro build
         uses: actions/cache@v4
         with:
-          path: |
-            docs/.astro
-            docs/dist
+          path: docs/.astro
           key: ${{ runner.os }}-astro-build-${{ github.sha }}
           restore-keys: |
             ${{ runner.os }}-astro-build-
@@ -62,8 +61,9 @@ jobs:
             ${{ runner.os }}-contributors-${{ github.repository }}-
 
       - name: Install dependencies
+        working-directory: docs
         run: |
-          if [ -d "docs/node_modules" ]; then
+          if [ -d "node_modules" ]; then
             echo "Using cached node_modules"
             npm ci --prefer-offline --no-audit
           else
@@ -72,6 +72,7 @@ jobs:
           fi
 
       - name: Build site
+        working-directory: docs
         env:
           # 🟢 GitHub token (rate limit 1000/hour)
           GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}