[CI] [GHA] Add periodic cleanup for hf cache (openvinotoolkit#29187)

### Tickets:
 - *163257*

Author: akashchi

.github/workflows/cleanup_caches.yml

@@ -35,6 +35,33 @@ jobs:
           echo "Cache info: "
           du -h -d2 ${PIP_CACHE_PATH}
 
+  Cleanup_HF_Cache:
+    name: Cleanup HuggingFace cache
+    runs-on: aks-linux-4-cores-16gb
+    if: ${{ github.repository_owner == 'openvinotoolkit' }}
+    container:
+      image: openvinogithubactions.azurecr.io/dockerhub/ubuntu:20.04
+      volumes:
+        - /mount:/mount
+    env:
+      HF_CACHE_PATH: /mount/caches/huggingface
+
+    steps:
+      - name: Checkout cache action
+        uses: actions/checkout@11bd71901bbe5b1630ceea73d27597364c9af683 # v4.2.2
+        timeout-minutes: 15
+        with:
+          sparse-checkout: .github/actions/cache
+
+      - name: Cleanup HF cache
+        uses: ./.github/actions/cache/cleanup
+        with:
+          cache-size: 1700
+          max-cache-size: 2000
+          cache-path: ${{ env.HF_CACHE_PATH }}
+          recursive: true
+          key: '.'
+
   Cleanup_ccache_lin:
     name: Cleanup Linux ccache
     runs-on: aks-linux-2-cores-8gb
@@ -47,7 +74,7 @@ jobs:
       CCACHE_PATH: /mount/caches/ccache
 
     steps:
-      - name: Checkout cach action
+      - name: Checkout cache action
         uses: actions/checkout@11bd71901bbe5b1630ceea73d27597364c9af683 # v4.2.2
         timeout-minutes: 15
         with:
@@ -70,7 +97,7 @@ jobs:
       CCACHE_PATH: C:\\mount\\caches\\ccache
 
     steps:
-      - name: Checkout cach action
+      - name: Checkout cache action
         uses: actions/checkout@11bd71901bbe5b1630ceea73d27597364c9af683 # v4.2.2
         timeout-minutes: 15
         with: