Cache successful requests in lychee (#6030)

This does the same as we do in contrib, which is to cache successful
requests in lychee, so errors such as 429s have less changes of
occurring.

.github/workflows/links-fail-fast.yml

@@ -13,7 +13,8 @@ jobs:
       - uses: actions/checkout@v4
 
       - name: Restore lychee cache
-        uses: actions/cache@v4
+        uses: actions/cache/restore@v4
+        id: cache-restore
         with:
           path: .lycheecache
           key: cache-lychee-${{ github.sha }}
@@ -25,4 +26,11 @@ jobs:
           GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
         with:
           fail: true
-          args: --max-concurrency 5 --cache --max-cache-age 1d .
+          args: --max-concurrency 5 --cache --max-cache-age 1d --cache-exclude-status 300..=599 .
+
+      - name: Save lychee cache
+        if: always()
+        uses: actions/cache/save@v4
+        with:
+          path: .lycheecache
+          key: ${{ steps.cache-restore.outputs.cache-primary-key }}

.github/workflows/links.yml

@@ -18,7 +18,8 @@ jobs:
 
 
     - name: Restore lychee cache
-      uses: actions/cache@v4
+      uses: actions/cache/restore@v4
+      id: cache-restore
       with:
         path: .lycheecache
         key: cache-lychee-${{ github.sha }}
@@ -30,7 +31,14 @@ jobs:
       env:
         GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
       with:
-          args: --max-concurrency 1 --cache --max-cache-age 1d .
+          args: --max-concurrency 1 --cache --max-cache-age 1d --cache-exclude-status 300..=599 .
+
+    - name: Save lychee cache
+      if: always()
+      uses: actions/cache/save@v4
+      with:
+        path: .lycheecache
+        key: ${{ steps.cache-restore.outputs.cache-primary-key }}
 
     - name: Create Issue From File
       if: steps.lychee.outputs.exit_code != 0