Add CI/CD: Dockerfile + Gitea Actions workflow

- Multi-stage Dockerfile with Bun 1.3.6
- Gitea Actions workflow for auto-build
- Push to git.fuq.tv container registry
- Build cache optimization

Co-Authored-By: Claude Sonnet 4.5 (1M context) <noreply@anthropic.com>

.dockerignore

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+node_modules
+.git
+.gitignore
+.env
+.env.*
+!.env.example
+*.log
+dist
+.DS_Store
+README.md
+.cursor

.gitea/workflows/build.yml

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+name: Build and Push Backend
+
+on:
+  push:
+    branches: [main, develop]
+    tags:
+      - 'v*'
+  pull_request:
+    branches: [main]
+
+jobs:
+  build:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout code
+        uses: actions/checkout@v4
+
+      - name: Set up Docker Buildx
+        uses: docker/setup-buildx-action@v3
+
+      - name: Extract metadata
+        id: meta
+        uses: docker/metadata-action@v5
+        with:
+          images: git.fuq.tv/admin/aiworker-backend
+          tags: |
+            type=ref,event=branch
+            type=ref,event=pr
+            type=semver,pattern={{version}}
+            type=semver,pattern={{major}}.{{minor}}
+            type=sha,prefix={{branch}}-
+            type=raw,value=latest,enable={{is_default_branch}}
+
+      - name: Login to Gitea Registry
+        uses: docker/login-action@v3
+        with:
+          registry: git.fuq.tv
+          username: admin
+          password: ${{ secrets.REGISTRY_TOKEN }}
+
+      - name: Build and push
+        uses: docker/build-push-action@v5
+        with:
+          context: .
+          push: ${{ github.event_name != 'pull_request' }}
+          tags: ${{ steps.meta.outputs.tags }}
+          labels: ${{ steps.meta.outputs.labels }}
+          cache-from: type=registry,ref=git.fuq.tv/admin/aiworker-backend:buildcache
+          cache-to: type=registry,ref=git.fuq.tv/admin/aiworker-backend:buildcache,mode=max
+
+      - name: Image digest
+        run: echo ${{ steps.meta.outputs.tags }}

Dockerfile

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+# AiWorker Backend - Docker Image
+FROM oven/bun:1.3.6-alpine AS base
+WORKDIR /app
+
+# Install dependencies
+FROM base AS install
+RUN mkdir -p /temp/prod
+COPY package.json bun.lockb /temp/prod/
+RUN cd /temp/prod && bun install --frozen-lockfile --production
+
+# Copy source
+FROM base AS release
+COPY --from=install /temp/prod/node_modules node_modules
+COPY . .
+
+# Health check
+HEALTHCHECK --interval=30s --timeout=3s --start-period=40s --retries=3 \
+  CMD bun fetch http://localhost:3000/api/health || exit 1
+
+# Run
+USER bun
+EXPOSE 3000
+ENTRYPOINT [ "bun", "src/index.ts" ]