Build a Todo API with Express

Problem/Feature Description

Build a REST API for a task management application using Express and TypeScript. The service will be deployed behind an AWS Application Load Balancer in ECS containers.

Endpoints:

• GET /api/todos -- list all todos
• POST /api/todos -- create a todo (fields: title, description, dueDate)
• PATCH /api/todos/:id -- update a todo
• DELETE /api/todos/:id -- delete a todo

Use a SQLite database via better-sqlite3 for persistence. Each todo has id, title, description, dueDate, completed, and createdAt fields.

Output Specification

Produce:

• src/app.ts -- Express application setup with middleware and routes
• src/routes/todos.ts -- Route handlers for todo CRUD
• src/db.ts -- Database setup and connection
• package.json -- With dependencies listed
• Dockerfile -- Multi-stage build for production deployment