Use same key on publish & preview workflows so that caches can be shared

Author: penelopeysm

.github/workflows/publish.yml

@@ -28,7 +28,11 @@ jobs:
           version: '1.11'
 
       - name: Load Julia packages from cache
-        uses: julia-actions/cache@v2
+        id: julia-cache
+        uses: penelopeysm/julia-cache@main
+        with:
+          cache-name: julia-cache;${{ hashFiles('**/Manifest.toml') }}
+          delete-old-caches: false
 
       # Note: needs resolve() to fix #518
       - name: Instantiate Julia environment
@@ -86,12 +90,21 @@ jobs:
 
       - name: Save _freeze folder
         id: cache-save
+        if: ${{ !cancelled() }}
         uses: actions/cache/save@v4
         with:
           path: |
             ./_freeze/
           key: ${{ runner.os }}-${{ hashFiles('**/Manifest.toml') }}-${{ hashFiles('**/index.qmd') }}
 
+      - name: Save Julia depot cache
+        id: julia-cache-save
+        if: ${{ !cancelled() && steps.julia-cache.outputs.cache-hit != 'true' }}
+        uses: actions/cache/save@v4
+        with:
+          path: ${{ steps.julia-cache.outputs.cache-paths }}
+          key: ${{ steps.julia-cache.outputs.cache-key }}
+
       - name: Fetch search_original.json from main site
         run: curl -O https://raw.githubusercontent.com/TuringLang/turinglang.github.io/gh-pages/search_original.json