feat: Add user registration component and authentication services

- Implemented Register component for user sign-up with form validation and network status handling.
- Created authAPI service for handling user login and registration with online/offline support.
- Developed localStorage service for managing user data and sessions offline.
- Introduced networkService for detecting online/offline status and managing connectivity.
- Defined authentication types for requests and responses.
- Added TypeScript configuration for the project.

.prettierrc.js

@@ -0,0 +1,5 @@
+module.exports = {
+  arrowParens: 'avoid',
+  singleQuote: true,
+  trailingComma: 'all',
+};