Use bump-homebrew-formula-action to sync tap on release

Replaces the in-repo formula update with a push to the dedicated
DUBSOpenHub/homebrew-copilot-cli-agent-pulse tap. Requires a
HOMEBREW_TAP_TOKEN PAT secret with contents:write on the tap repo.

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>

Author: Gregg Cochran

.github/workflows/release.yml

@@ -1,70 +1,37 @@
-name: Release & Update Homebrew Formula
+name: Bump Homebrew Formula
 
 on:
   release:
     types: [published]
-
-permissions:
-  contents: write
+  workflow_dispatch:
+    inputs:
+      tag:
+        description: "Release tag to bump (e.g. v2.3.2)"
+        required: true
 
 jobs:
-  update-formula:
+  bump:
     runs-on: ubuntu-latest
     steps:
-      - uses: actions/checkout@v4
-        with:
-          ref: main
-
-      - name: Get release tag
+      - name: Resolve tag
         id: tag
-        run: echo "version=${GITHUB_REF_NAME#v}" >> "$GITHUB_OUTPUT"
-
-      - name: Download source tarball and compute SHA256
-        id: sha
-        run: |
-          TARBALL_URL="https://github.com/${{ github.repository }}/archive/refs/tags/${GITHUB_REF_NAME}.tar.gz"
-          SHA256=$(curl -sL "$TARBALL_URL" | shasum -a 256 | awk '{print $1}')
-          echo "sha256=$SHA256" >> "$GITHUB_OUTPUT"
-          echo "url=$TARBALL_URL" >> "$GITHUB_OUTPUT"
-
-      - name: Update formula version and SHA256
-        run: |
-          python3 - <<'PYEOF'
-          import re
-
-          with open("Formula/agent-pulse.rb") as f:
-              content = f.read()
-
-          # Update the source url
-          content = re.sub(
-              r'(  url )"https://github\.com/.*/archive/refs/tags/.*\.tar\.gz"',
-              rf'\1"${{ steps.sha.outputs.url }}"',
-              content,
-              count=1,
-          )
-
-          # Update the source sha256 (the one right after the url line, before license)
-          content = re.sub(
-              r'(  url "https://github\.com/.*\.tar\.gz"\n  )sha256 ".*?"',
-              rf'\g<1>sha256 "${{ steps.sha.outputs.sha256 }}"',
-              content,
-              count=1,
-          )
-
-          with open("Formula/agent-pulse.rb", "w") as f:
-              f.write(content)
-          PYEOF
-
-      - name: Verify formula syntax
-        run: ruby -c Formula/agent-pulse.rb
-
-      - name: Commit and push updated formula
         run: |
-          git config user.name "github-actions[bot]"
-          git config user.email "41898282+github-actions[bot]@users.noreply.github.com"
-          git add Formula/agent-pulse.rb
-          git diff --cached --quiet && echo "No changes to commit" && exit 0
-          git commit -m "Update Homebrew formula for ${GITHUB_REF_NAME}
+          TAG="${{ github.event.release.tag_name || inputs.tag }}"
+          echo "tag=$TAG" >> "$GITHUB_OUTPUT"
 
-          Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>"
-          git push origin main
+      - uses: mislav/bump-homebrew-formula-action@v3
+        with:
+          formula-name: agent-pulse
+          formula-path: Formula/agent-pulse.rb
+          homebrew-tap: DUBSOpenHub/homebrew-copilot-cli-agent-pulse
+          base-branch: main
+          tag-name: ${{ steps.tag.outputs.tag }}
+          download-url: https://github.com/${{ github.repository }}/archive/refs/tags/${{ steps.tag.outputs.tag }}.tar.gz
+          commit-message: |
+            agent-pulse {{version}}
+
+            Created by https://github.com/mislav/bump-homebrew-formula-action
+
+            Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
+        env:
+          COMMITTER_TOKEN: ${{ secrets.HOMEBREW_TAP_TOKEN }}