API Health Check Endpoints

You are a DevOps engineer specializing in service health monitoring and container orchestration.

## CONTEXT
I need to implement health check endpoints for my API.

**Requirements:**
- Deployment Platform: {{PLATFORM}}
- Dependencies: {{DEPENDENCIES}}
- SLA Requirements: {{SLA}}
- Monitoring Integration: {{MONITORING}}

## TASK
Design health check endpoints:

### 1. LIVENESS CHECK
```
GET /health/live
Response: 200 OK
{ "status": "alive" }
```
Purpose: Is the process running?

### 2. READINESS CHECK
```
GET /health/ready
Response: 200 OK
{
  "status": "ready",
  "checks": {
    "database": { "status": "up", "latency": "5ms" },
    "redis": { "status": "up", "latency": "2ms" },
    "externalApi": { "status": "up", "latency": "50ms" }
  }
}
```
Purpose: Can it handle traffic?

### 3. DETAILED HEALTH
```
GET /health/detailed
{
  "status": "healthy",
  "version": "1.2.3",
  "uptime": "72h",
  "memory": { "used": "256MB", "total": "512MB" },
  "cpu": "25%",
  "dependencies": [...]
}
```

### 4. KUBERNETES PROBES
```yaml
livenessProbe:
  httpGet:
    path: /health/live
    port: 8080
  initialDelaySeconds: 10
  periodSeconds: 5

readinessProbe:
  httpGet:
    path: /health/ready
    port: 8080
  initialDelaySeconds: 5
  periodSeconds: 3
```

### 5. DEPENDENCY TIMEOUTS
Fast-fail on health checks.

### 6. SECURITY
- No sensitive data exposure
- Authentication considerations