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>

README.md

@@ -4,10 +4,13 @@ A Claude Code session manager with an autonomous Ralph Loop for task assignment
 
 ## Features
 
+- **Web Interface**: Beautiful, responsive web UI for managing sessions and running prompts
 - **Session Management**: Spawn and manage multiple Claude CLI sessions as subprocesses
+- **Timed Runs**: Schedule Claude to work for a specific duration with live countdown
+- **Real-time Output**: Stream Claude's responses in real-time via Server-Sent Events
 - **Task Queue**: Priority-based task queue with dependency support
 - **Ralph Loop**: Autonomous control loop that assigns tasks to idle sessions and monitors completion
-- **Time-Aware Loops**: Set minimum durations for extended autonomous work sessions
+- **Cost Tracking**: Track total API costs across all sessions
 - **State Persistence**: All state persisted to `~/.claudeman/state.json`
 
 ## Installation
@@ -20,6 +23,24 @@ npm link  # Optional: make 'claudeman' available globally
 
 ## Quick Start
 
+### Web Interface (Recommended)
+
+```bash
+# Start the web interface
+claudeman web
+
+# Open http://localhost:3000 in your browser
+```
+
+The web interface provides:
+- **Prompt Input**: Enter prompts and optionally set a working directory
+- **Duration Timer**: Set duration in minutes for timed runs (0 = single run)
+- **Live Output**: See Claude's response in real-time as it streams
+- **Countdown**: Large timer display when running timed jobs
+- **Session Monitoring**: View all active sessions at the bottom panel
+
+### CLI Usage
+
 ```bash
 # Start a Claude session
 claudeman start --dir /path/to/project
@@ -37,6 +58,16 @@ claudeman status
 
 ## Commands
 
+### Web Interface
+
+```bash
+# Start web interface on default port (3000)
+claudeman web
+
+# Use a different port
+claudeman web --port 8080
+```
+
 ### Session Management
 
 ```bash