feat(logging): add comprehensive logging to all API routes (Phase 4)

Applied withLogging() wrapper to all 24 API routes for consistent logging:

Process Control Routes:
- Start/stop/restart individual processes
- Start-all/stop-all/restart-all batch operations

Signal Routes:
- Signal individual processes
- Signal all processes
- Signal process groups

Group Management Routes:
- Start/stop/restart process groups
- Signal operations for groups

Configuration Routes:
- Get all configs (GET)
- Reload configuration (POST)
- Add/remove process groups (POST/DELETE)

Log Routes:
- Read main supervisord log
- Read process stdout/stderr logs
- Clear process logs (individual and all)

System Routes:
- Get system info
- Get all processes info
- Get individual process info
- Send stdin to process

All routes now include:
- Request/response logging with timing
- Automatic error handling and correlation IDs
- X-Request-ID header propagation
- Consistent metadata in responses

Also fixed Next.js 16 deprecation:
- Moved experimental.serverComponentsExternalPackages to serverExternalPackages

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>

app/api/supervisor/processes/logs/clear-all/route.ts

@@ -1,21 +1,14 @@
-import { NextResponse } from 'next/server';
+import { NextRequest, NextResponse } from 'next/server';
 import { createSupervisorClient } from '@/lib/supervisor/client';
+import { withLogging } from '@/lib/utils/api-logger';
 
-// POST - Clear all process logs
-export async function POST() {
-  try {
-    const client = createSupervisorClient();
-    const results = await client.clearAllProcessLogs();
-    return NextResponse.json({
-      success: true,
-      message: 'All process logs cleared',
-      results
-    });
-  } catch (error: any) {
-    console.error('Supervisor clear all logs error:', error);
-    return NextResponse.json(
-      { error: error.message || 'Failed to clear all logs' },
-      { status: 500 }
-    );
-  }
-}
+export const POST = withLogging(async (request: NextRequest) => {
+  const client = createSupervisorClient();
+  const results = await client.clearAllProcessLogs();
+
+  return NextResponse.json({
+    success: true,
+    message: 'All process logs cleared',
+    results,
+  });
+}, 'clearAllProcessLogs');