ci: trigger homebrew-browser formula update after release

.github/workflows/release.yml

@@ -171,3 +171,24 @@ jobs:
             gh workflow run ci \
               --repo lightpanda-io/browser-docker \
               --field tag="${{ env.RELEASE }}"
+
+  update-homebrew-formula:
+    needs: [build-linux, build-macos]
+    runs-on: ubuntu-latest
+    steps:
+      - name: Generate token for homebrew-browser
+        id: app-token
+        uses: actions/create-github-app-token@v2
+        with:
+          app-id: ${{ secrets.DISTRIBUTION_APP_ID }}
+          private-key: ${{ secrets.DISTRIBUTION_APP_PRIVATE_KEY }}
+          owner: lightpanda-io
+          repositories: homebrew-browser
+
+      - name: Trigger homebrew formula update
+        env:
+          GH_TOKEN: ${{ steps.app-token.outputs.token }}
+        run: |
+            gh workflow run ci \
+              --repo lightpanda-io/homebrew-browser \
+              --field tag="${{ env.RELEASE }}"