Add GitHub Actions workflow for building Docker image

.github/workflows/build-image.yml

@@ -0,0 +1,55 @@
+name: Build Docker Image
+
+on:
+  push:
+    branches: [master, main]
+    tags: ['v*']
+  pull_request:
+    branches: [master, main]
+
+env:
+  REGISTRY: ghcr.io
+
+jobs:
+  build:
+    runs-on: ubuntu-latest
+    permissions:
+      contents: read
+      packages: write
+
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v4
+
+      - name: Set up Docker Buildx
+        uses: docker/setup-buildx-action@v3
+
+      - name: Log in to Container Registry
+        if: github.event_name != 'pull_request'
+        uses: docker/login-action@v3
+        with:
+          registry: ${{ env.REGISTRY }}
+          username: ${{ github.actor }}
+          password: ${{ secrets.GITHUB_TOKEN }}
+
+      - name: Extract metadata
+        id: meta
+        uses: docker/metadata-action@v5
+        with:
+          images: ${{ env.REGISTRY }}/${{ github.repository }}/agent-task
+          tags: |
+            type=ref,event=branch
+            type=ref,event=tag
+            type=sha,prefix=
+            type=raw,value=latest,enable=${{ github.ref == 'refs/heads/master' || github.ref == 'refs/heads/main' }}
+
+      - name: Build and push
+        uses: docker/build-push-action@v6
+        with:
+          context: .
+          file: docker/agent-task/Dockerfile
+          push: ${{ github.event_name != 'pull_request' }}
+          tags: ${{ steps.meta.outputs.tags }}
+          labels: ${{ steps.meta.outputs.labels }}
+          cache-from: type=gha
+          cache-to: type=gha,mode=max