Backport PR #11322: Pass version spec as an input (#11324)

Co-authored-by: Jeremy Tuloup <jeremy.tuloup@gmail.com>

.github/workflows/check-release.yml

@@ -68,10 +68,9 @@ jobs:
       - name: Check Release
         if: ${{ matrix.group == 'check_release' }}
         uses: jupyter-server/jupyter_releaser/.github/actions/check-release@v1
-        env:
-          RH_VERSION_SPEC: next
         with:
           token: ${{ secrets.GITHUB_TOKEN }}
+          version_spec: next
 
       - name: Run Link Check
         if: ${{ matrix.group == 'link_check' }}