Remove hardcoded tags. (#3250)

Tags were harcoded during testing and not returned to their previous state.
diff --git a/.github/workflows/no-response_publish.yaml b/.github/workflows/no-response_publish.yaml
index 1b619ac..fc3d0b4 100644
--- a/.github/workflows/no-response_publish.yaml
+++ b/.github/workflows/no-response_publish.yaml
@@ -22,7 +22,7 @@
       - name: Checkout
         uses: actions/checkout@b4ffde65f46336ab88eb53be808477a3936bae11
         with:
-          ref: 'no-response-v0.5.1'
+          ref: ${{ github.event.release.tag_name }}
           sparse-checkout: 'gh_actions/third_party/no-response'
           sparse-checkout-cone-mode: false
       - name: move_package_to_root
@@ -38,5 +38,3 @@
       - uses: JasonEtco/build-and-tag-action@dd5e4991048c325f6d85b4155e586fc211c644da
         env:
           GITHUB_TOKEN: ${{ secrets.FLUTTERGITHUBBOT_TOKEN }}
-        with:
-          tag_name: 'no-response-v0.5.1'