feat: add web interface with real-time streaming and timed runs

- Add Fastify-based web server with SSE for real-time updates
- Create responsive dark-themed UI with:
  - Prompt input with directory and duration options
  - Live countdown timer for timed runs
  - Real-time output streaming
  - Collapsible sessions panel
  - Cost and task tracking
- Support timed runs that repeat prompts for specified duration
- Add /api endpoints for sessions, scheduled runs, and status
- Update Session class to parse Claude CLI JSON output
- Add 'claudeman web' command to start the interface

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

src/cli.ts

@@ -449,4 +449,25 @@ program
     console.log('');
   });
 
+// Web interface command
+program
+  .command('web')
+  .description('Start the web interface')
+  .option('-p, --port <port>', 'Port to listen on', '3000')
+  .action(async (options) => {
+    const { startWebServer } = await import('./web/server.js');
+    const port = parseInt(options.port, 10);
+
+    console.log(chalk.cyan(`Starting Claudeman web interface on port ${port}...`));
+
+    try {
+      await startWebServer(port);
+      console.log(chalk.green(`\n✓ Web interface running at http://localhost:${port}`));
+      console.log(chalk.gray('  Press Ctrl+C to stop\n'));
+    } catch (err) {
+      console.error(chalk.red(`✗ Failed to start web server: ${(err as Error).message}`));
+      process.exit(1);
+    }
+  });
+
 export { program };