Add auto-generated barrel index files for auth, chat, sidebar, and user contexts, and update the services barrel with comprehensive exports for api, dto, and schema modules to streamline imports across the application.
- Move src/data/{api,dto,schemas} directories to src/data/services/*
- Update all relative imports across the codebase to reference new paths
- Use CSS color tokens for splash button gradient in splash-button.module.css
- Add responsive sizes attribute to splash background image
- Add JSDoc documentation to splash-background component referencing original Dart implementation
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