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>

package.json

@@ -8,9 +8,10 @@
     "claudeman": "./dist/index.js"
   },
   "scripts": {
-    "build": "tsc",
+    "build": "tsc && mkdir -p dist/web && cp -r src/web/public dist/web/",
     "start": "node dist/index.js",
     "dev": "tsx src/index.ts",
+    "web": "node dist/index.js web",
     "clean": "rm -rf dist"
   },
   "keywords": [
@@ -22,8 +23,10 @@
   "author": "",
   "license": "MIT",
   "dependencies": {
+    "@fastify/static": "^8.0.0",
     "chalk": "^5.3.0",
     "commander": "^12.1.0",
+    "fastify": "^5.1.0",
     "uuid": "^10.0.0"
   },
   "devDependencies": {