diff --git a/.github/workflows/publish-package.yml b/.github/workflows/publish-package.yml
index d9dfbbdca..e387eab28 100644
--- a/.github/workflows/publish-package.yml
+++ b/.github/workflows/publish-package.yml
@@ -69,9 +69,9 @@ jobs:
       - name: Ensure latest pip and setuptools
         run: python -m pip install --upgrade pip && pip install --upgrade setuptools
       - name: Build wheels
-        run: pip install cibuildwheel && python -m cibuildwheel --output-dir dist
+        run: pip install 'cibuildwheel < 3' && python -m cibuildwheel --output-dir dist
         env:
-          CIBW_BUILD: cp3*
+          CIBW_BUILD: ${{ inputs.use_lkg && 'cp3{8,9,10,11,12}-*' || 'cp3*' }}
           CIBW_SKIP: "*musl* *win32 *i686"
       - name: Upload wheels as artifact
         uses: actions/upload-artifact@v4