Implement complete full-stack authentication system

- Restructure project with separate frontend/backend architecture
- Create dedicated backend with Axum, SQLite, JWT authentication
- Implement real API endpoints for register/login/verify
- Update frontend to use HTTP requests instead of mock auth
- Add bcrypt password hashing and secure token generation
- Separate Cargo.toml files for frontend and backend builds
- Fix Trunk compilation by isolating WASM-incompatible dependencies
- Create demo user in database for easy testing
- Both servers running: frontend (8081), backend (3000)

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

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

Cargo.toml

@@ -1,8 +1,10 @@
 [package]
-name = "yew-app"
+name = "calendar-app"
 version = "0.1.0"
 edition = "2021"
 
+# Frontend binary only
+
 [dependencies]
 yew = { version = "0.21", features = ["csr"] }
 web-sys = "0.3"
@@ -38,16 +40,9 @@ base64 = "0.21"
 # XML/Regex parsing
 regex = "1.0"
 
-# Frontend authentication (backend removed for WASM compatibility)
-# sqlx = { version = "0.7", features = ["runtime-tokio-rustls", "sqlite", "chrono", "uuid", "migrate"] }
-# bcrypt = "0.15"
-# jsonwebtoken = "9.0"
-
-# Yew routing and local storage
+# Yew routing and local storage (WASM only)
 yew-router = "0.18"
 gloo-storage = "0.3"
 gloo-timers = "0.3"
 wasm-bindgen-futures = "0.4"
 
-[dev-dependencies]
-tokio = { version = "1.0", features = ["macros", "rt"] }