Refactor useAuth hook, settings components, and docs for formatting and readability improvements

- Consolidated multi-line arguments into single lines where appropriate in `useAuth`.
- Improved spacing and readability in data processing across components (`ProfileSettingsForm`, `PasswordChangeForm`, `SessionCard`).
- Applied consistent table and markdown formatting in design system docs (e.g., `README.md`, `08-ai-guidelines.md`, `00-quick-start.md`).
- Updated code snippets to ensure adherence to Prettier rules and streamlined JSX structures.

frontend/tests/components/auth/RegisterForm.test.tsx

@@ -54,9 +54,7 @@ const createWrapper = () => {
   });
 
   return ({ children }: { children: React.ReactNode }) => (
-    <QueryClientProvider client={queryClient}>
-      {children}
-    </QueryClientProvider>
+    <QueryClientProvider client={queryClient}>{children}</QueryClientProvider>
   );
 };
 
@@ -262,7 +260,9 @@ describe('RegisterForm', () => {
       await user.click(screen.getByRole('button', { name: /create account/i }));
 
       await waitFor(() => {
-        expect(screen.getByText('An unexpected error occurred. Please try again.')).toBeInTheDocument();
+        expect(
+          screen.getByText('An unexpected error occurred. Please try again.')
+        ).toBeInTheDocument();
       });
     });
   });