ci: add image build.

.github/workflows/build.yml

@@ -0,0 +1,37 @@
+name: Build image
+on:
+  push:
+    tags:
+      - 'v*'
+    branches:
+      - main
+  pull_request:
+
+jobs:
+  build_and_push:
+    runs-on: ubuntu-latest
+    permissions:
+      packages: write
+      contents: read
+    env:
+      REGISTRY: ghcr.io/${{ github.repository_owner }}
+      SOURCE: https://github.com/${{ github.repository }}
+    steps:
+      - uses: actions/checkout@v4
+      - uses: docker/setup-buildx-action@v3
+      - name: Log in to registry
+        if: github.event_name == 'push'
+        uses: docker/login-action@v3
+        with:
+          registry: ghcr.io
+          username: ${{ github.actor }}
+          password: ${{ secrets.GITHUB_TOKEN }}
+      - name: Build and push tagged image
+        uses: docker/bake-action@v4
+        with:
+          workdir: ./
+          files: docker-compose.yml
+          set: |
+            *.cache-from=type=gha
+            *.cache-to=type=gha,mode=max
+          push: ${{ github.event_name == 'push' && github.ref_type == 'tag' }}