Initial commit: EGBE chatbot template

Stripped from vercel/chatbot (Apache 2.0):
- Dropped @vercel/* packages and AI Gateway
- Removed artifacts feature (code/text/sheet/image side panel)
- Switched AI provider to @ai-sdk/openai-compatible -> EGBE LiteLLM
- Replaced Vercel Blob upload with data URLs
- Dropped Redis resumable streams and rate limiter (in-memory now)
- Added Dockerfile (Next.js standalone) + entrypoint that runs migrations
- Wired DATABASE_URL, EGBE_AI_API_URL/KEY, NEXT_PUBLIC_BASE_URL for app-deploy.sh

.dockerignore

@@ -0,0 +1,15 @@
+Dockerfile
+.dockerignore
+.git
+.gitignore
+.next
+node_modules
+npm-debug.log
+README.md
+.env*
+!.env.example
+tests
+playwright-report
+test-results
+.vscode
+.idea