chore(ci): add repository dispatch workflow

.github/workflows/repository_dispatch.yml

@@ -0,0 +1,33 @@
+name: Repository dispatch on main
+on:
+  workflow_dispatch:
+  push:
+    branches:
+      - main
+
+env:
+  BIOME_WEBSITE_REPO: biomejs/website
+  BIOME_PUSH_ON_MAIN_EVENT_TYPE: biome-push-on-main-event
+
+jobs:
+  repository-dispatch:
+    name: Repository dispatch
+    runs-on: ubuntu-latest
+    steps:
+      - name: Dispatch event on push
+        if: ${{ github.event_name == 'push' }}
+        uses: peter-evans/repository-dispatch@v3
+        with:
+          token: ${{ secrets.BIOME_REPOSITORY_DISPATCH }}
+          repository: ${{ env.BIOME_WEBSITE_REPO }}
+          event-type: ${{ env.BIOME_PUSH_ON_MAIN_EVENT_TYPE }}
+          client-payload: '{"event": ${{ toJson(github.event) }}}'
+      # For testing only, the payload is mocked
+      - name: Dispatch event on workflow dispatch
+        if: ${{ github.event_name == 'workflow_dispatch' }}
+        uses: peter-evans/repository-dispatch@v3
+        with:
+          token: ${{ secrets.BIOME_REPOSITORY_DISPATCH }}
+          repository: ${{ env.BIOME_WEBSITE_REPO }}
+          event-type: ${{ env.BIOME_PUSH_ON_MAIN_EVENT_TYPE }}
+          client-payload: '{"event": {"head_commit": {"id": "${{ env.GITHUB_SHA }}"}}}'