feat: Add Claude Code terminal integration to dashboard

- Add embedded Claude Code terminal with xterm.js for full CLI experience
- Create WebSocket PTY backend for real-time terminal communication
- Add terminal status endpoint to check CLI availability
- Update dashboard to use Claude Code terminal instead of API chat
- Add optimization control panel with start/stop/validate actions
- Add study context provider for global state management
- Update frontend with new dependencies (xterm.js addons)
- Comprehensive README documentation for all new features

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

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

atomizer-dashboard/backend/api/main.py

@@ -12,7 +12,7 @@ import sys
 # Add parent directory to path to import optimization_engine
 sys.path.append(str(Path(__file__).parent.parent.parent.parent))
 
-from api.routes import optimization
+from api.routes import optimization, claude, terminal
 from api.websocket import optimization_stream
 
 # Create FastAPI app
@@ -34,6 +34,8 @@ app.add_middleware(
 # Include routers
 app.include_router(optimization.router, prefix="/api/optimization", tags=["optimization"])
 app.include_router(optimization_stream.router, prefix="/api/ws", tags=["websocket"])
+app.include_router(claude.router, prefix="/api/claude", tags=["claude"])
+app.include_router(terminal.router, prefix="/api/terminal", tags=["terminal"])
 
 @app.get("/")
 async def root():