try

.github/workflows/publish.yml

@@ -29,10 +29,14 @@ jobs:
         uses: Homebrew/actions/git-try-push@c62170a03ff2bcb9ab097fd7d6acbc905618e42a
         with:
           token: ${{ github.token }}
-          branch: main
+          branch: ${{ github.ref }}
 
-      - name: Delete branch
-        if: github.event.pull_request.head.repo.fork == false
-        env:
-          BRANCH: ${{ github.event.pull_request.head.ref }}
-        run: git push --delete origin "$BRANCH"
+      - name: Merge pr
+        uses: actions/github-script@v7
+        with:
+          script: |
+            await github.rest.pulls.merge({
+              owner: context.repo.owner,
+              repo: context.repo.repo,
+              pull_number: context.issue.number,
+            })