## Why

The application currently fails to start when database tables are missing or migrations haven't been applied. This creates a poor deployment experience and requires manual intervention. We need automatic database initialization, migration management, and seed data handling to ensure the application starts reliably in any environment.

## What Changes

- **Auto-run migrations on startup** instead of requiring manual `alembic upgrade head`
- **Improve startup error handling** with clear error messages when DB is unavailable
- **Add database readiness checks** before attempting migrations or seeding
- **Seed data management** with proper handling of missing tables
- **Better database initialization** in Docker environments

## Capabilities

### New Capabilities
- `database-initialization`: Automatic database setup including migrations and seed data

### Modified Capabilities
- `docker-infrastructure`: Add database initialization scripts and health checks

## Impact

- `apps/api/src/main.py`: Add startup database initialization
- `apps/api/src/database.py`: Add connection health checks
- `apps/api/Dockerfile`: Add init scripts
- `docker-compose.yml` and `docker-compose.traefik.yml`: Update startup behavior
