chore: add workflow to sync docs

Author: smeijer

.github/sync.yml

@@ -1,5 +1,7 @@
 magicbell/magicbell:
   - source: packages/project-client/docs-dist
     dest: src/go/app/site/docs/mdx/03-libraries/project-client
+    deleteOrphaned: true
   - source: packages/user-client/docs-dist
     dest: src/go/app/site/docs/mdx/03-libraries/user-client
+    deleteOrphaned: true

.github/workflows/sync-docs.yml

@@ -0,0 +1,37 @@
+name: Sync Docs
+on:
+  workflow_dispatch:
+
+concurrency: ${{ github.workflow }}-${{ github.ref }}
+
+jobs:
+  sync:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+        with:
+          token: ${{ secrets.BELLA_ACTION_TOKEN }}
+
+      - name: Configure Git
+        run: |
+          git config --global user.email '${{ secrets.BELLA_EMAIL_ADDRESS }}'
+          git config --global user.name 'MagicBella'
+
+      - uses: actions/setup-node@v4
+        with:
+          node-version: 20
+      - uses: bahmutov/npm-install@v1
+
+      - name: Build docs
+        run: |
+          yarn --cwd ./packages/codegen build # needed by scripts below
+          yarn --cwd ./packages/project-client build:docs
+          yarn --cwd ./packages/user-client build:docs
+
+      - name: Push docs to remote repo
+        uses: BetaHuhn/repo-file-sync-action@v1
+        with:
+          GH_PAT: ${{ secrets.BELLA_ACTION_TOKEN }}
+          COMMIT_PREFIX: 'docs: '
+          GIT_USERNAME: 'MagicBella'
+          GIT_EMAIL: '${{ secrets.BELLA_EMAIL_ADDRESS }}'