feat: connect google calendar integration to backend API

[huiii421]

• Add user session synchronization in StoreProvider
• Update admin page routing to handle calendar integration params
• Implement Google Calendar backend integration in 'CalendarIntegrations'
• Add API URL building utility for calendar endpoints
• Enable user email caching for calendar authentication flow

[huiii421]

• Add Gmail email detection and warning UI for non-Gmail users
• Implement dual connection status detection (URL params + API validation)
• Separate login email and Google email state management
• Add automatic token refresh and Google profile API integration
• Translate all Chinese text to English
• Support different email accounts for login vs Google Calendar authorization

[huiii421]

fix: resolve localStorage data being re-written after calendar deletion

• Add multi-layer protection mechanism to prevent localStorage overwrites
• Implement sessionStorage flags to track deletion state (calendar_deleted, calendar_manually_deleted)
• Add conditional checks before writing to localStorage in all components
• Skip backend validation (checkValid) when calendar was just deleted
• Prevent AuthCallbackContent from overwriting manually deleted data
• Ensure deletion operations are atomic and irreversible
• Clear deletion flags when user reconnects to calendar

Fixes issue where deleted calendar connections would reappear after page refresh
due to backend token validation and Redux Persist data restoration.