Update force deletion docs due a recent deprecation (#1500)

* fix: update force deletion docs due a recent deprecation

* fix: applied josh's suggestions

---------

Co-authored-by: Josh Gross <joshmgross@github.com>

tips-and-workarounds.md

@@ -37,9 +37,8 @@ From `v3.2.3` cache is cross-os compatible when `enableCrossOsArchive` input is
 
 ## Force deletion of caches overriding default cache eviction policy
 
-Caches have [branch scope restriction](https://docs.github.com/en/actions/using-workflows/caching-dependencies-to-speed-up-workflows#restrictions-for-accessing-a-cache) in place. This means that if caches for a specific branch are using a lot of storage quota, it may result into more frequently used caches from `default` branch getting thrashed. For example, if there are many pull requests happening on a repo and are creating caches, these cannot be used in default branch scope but will still occupy a lot of space till they get cleaned up by [eviction policy](https://docs.github.com/en/actions/using-workflows/caching-dependencies-to-speed-up-workflows#usage-limits-and-eviction-policy). But sometime we want to clean them up on a faster cadence so as to ensure default branch is not thrashing. In order to achieve this, [gh-actions-cache cli](https://github.com/actions/gh-actions-cache/) can be used to delete caches for specific branches.
+Caches have [branch scope restriction](https://docs.github.com/en/actions/using-workflows/caching-dependencies-to-speed-up-workflows#restrictions-for-accessing-a-cache) in place. This means that if caches for a specific branch are using a lot of storage quota, it may result into more frequently used caches from `default` branch getting thrashed. For example, if there are many pull requests happening on a repo and are creating caches, these cannot be used in default branch scope but will still occupy a lot of space till they get cleaned up by [eviction policy](https://docs.github.com/en/actions/using-workflows/caching-dependencies-to-speed-up-workflows#usage-limits-and-eviction-policy). But sometime we want to clean them up on a faster cadence so as to ensure default branch is not thrashing.
 
-This workflow uses `gh-actions-cache` to delete all the caches created by a branch.
 <details>
   <summary>Example</summary>
 
@@ -60,29 +59,23 @@ jobs:
       actions: write
       contents: read
     steps:
-      - name: Check out code
-        uses: actions/checkout@v4
-
       - name: Cleanup
         run: |
-          gh extension install actions/gh-actions-cache
-          
-          REPO=${{ github.repository }}
-          BRANCH=refs/pull/${{ github.event.pull_request.number }}/merge
-
           echo "Fetching list of cache key"
-          cacheKeysForPR=$(gh actions-cache list -R $REPO -B $BRANCH | cut -f 1 )
+          cacheKeysForPR=$(gh cache list --ref $BRANCH --limit 100 --json id --jq '.[].id')
 
           ## Setting this to not fail the workflow while deleting cache keys.
           set +e
           echo "Deleting caches..."
           for cacheKey in $cacheKeysForPR
           do
-              gh actions-cache delete $cacheKey -R $REPO -B $BRANCH --confirm
+              gh cache delete $cacheKey
           done
           echo "Done"
         env:
           GH_TOKEN: ${{ secrets.GITHUB_TOKEN }}
+          GH_REPO: ${{ github.repository }}
+          BRANCH: refs/pull/${{ github.event.pull_request.number }}/merge
 ```
 
 </details>