Use no-response from cocoon. (#138037)

Migrate no-response to the version imported in cocoon.

.github/workflows/no-response.yaml

@@ -19,7 +19,7 @@ jobs:
     runs-on: ubuntu-latest
     if: ${{ github.repository == 'flutter/flutter' }}
     steps:
-      - uses: godofredoc/no-response@0ce2dc0e63e1c7d2b87752ceed091f6d32c9df09
+      - uses: flutter/cocoon/gh_actions/third_party/no-response@4298c73a14772476f8d2d4af5772c7932de5b480
         with:
           token: ${{ github.token }}
           # Comment to post when closing an Issue for lack of response. Set to `false` to disable