Use repository_dispatch for Homebrew formula updates

Replace direct push to homebrew-tap with repository_dispatch trigger.
Centralizes formula generation logic in homebrew-tap workflow.

Co-Authored-By: Claude <noreply@anthropic.com>

Author: Dean Sharon

.github/workflows/release.yml

@@ -78,55 +78,15 @@ jobs:
         env:
           NODE_AUTH_TOKEN: ${{ secrets.NPM_TOKEN }}
 
-  update-homebrew:
-    name: Update Homebrew tap
+  trigger-homebrew:
+    name: Trigger Homebrew update
     needs: [release, verify-version]
     runs-on: ubuntu-latest
     steps:
-      - name: Checkout homebrew-tap
-        uses: actions/checkout@v4
-        with:
-          repository: dean0x/homebrew-tap
-          token: ${{ secrets.HOMEBREW_TAP_TOKEN }}
-          path: homebrew-tap
-
-      - name: Download release tarball and calculate checksum
-        id: checksum
-        run: |
-          VERSION="${{ needs.verify-version.outputs.version }}"
-          curl -sL "https://github.com/dean0x/mars/archive/refs/tags/v${VERSION}.tar.gz" -o mars.tar.gz
-          SHA256=$(sha256sum mars.tar.gz | cut -d' ' -f1)
-          echo "sha256=$SHA256" >> "$GITHUB_OUTPUT"
-
-      - name: Update formula
-        run: |
-          VERSION="${{ needs.verify-version.outputs.version }}"
-          SHA256="${{ steps.checksum.outputs.sha256 }}"
-
-          cat > homebrew-tap/Formula/mars.rb << EOF
-          class Mars < Formula
-            desc "Multi Agentic Repo workspace manager for Git repositories"
-            homepage "https://github.com/dean0x/mars"
-            url "https://github.com/dean0x/mars/archive/refs/tags/v${VERSION}.tar.gz"
-            sha256 "${SHA256}"
-            license "MIT"
-
-            def install
-              bin.install "dist/mars" => "mars"
-            end
-
-            test do
-              system "#{bin}/mars", "--version"
-            end
-          end
-          EOF
-          sed -i 's/^          //' homebrew-tap/Formula/mars.rb
-
-      - name: Commit and push
+      - name: Trigger formula update
         run: |
-          cd homebrew-tap
-          git config user.name "github-actions[bot]"
-          git config user.email "github-actions[bot]@users.noreply.github.com"
-          git add Formula/mars.rb
-          git diff --staged --quiet || git commit -m "Update mars to ${{ needs.verify-version.outputs.version }}"
-          git push
+          curl -X POST \
+            -H "Authorization: Bearer ${{ secrets.HOMEBREW_TAP_TOKEN }}" \
+            -H "Accept: application/vnd.github+json" \
+            https://api.github.com/repos/dean0x/homebrew-tap/dispatches \
+            -d '{"event_type":"update-formula","client_payload":{"formula":"mars","version":"${{ needs.verify-version.outputs.version }}"}}'