🧭 fix: Add Base Path Support for Login/Register and Image Paths (#10116)

* fix: add basePath pattern to support login/register and image paths

* Fix linter errors

* refactor: Update import statements for getBasePath and isEnabled, and add path utility functions with tests

- Refactored imports in addImages.js and StableDiffusion.js to use getBasePath from '@librechat/api'.
- Consolidated isEnabled and getBasePath imports in validateImageRequest.js.
- Introduced new path utility functions in path.ts and corresponding unit tests in path.spec.ts to validate base path extraction logic.

* fix: Update domain server base URL in MarkdownComponents and refactor authentication redirection logic

- Changed the domain server base URL in MarkdownComponents.tsx to use the API base URL.
- Refactored the useAuthRedirect hook to utilize React Router's navigate for redirection instead of window.location, ensuring a smoother SPA experience.
- Added unit tests for the useAuthRedirect hook to verify authentication redirection behavior.

* test: Mock isEnabled in validateImages.spec.js for improved test isolation

- Updated validateImages.spec.js to mock the isEnabled function from @librechat/api, ensuring that tests can run independently of the actual implementation.
- Cleared the DOMAIN_CLIENT environment variable before tests to avoid interference with basePath resolution.

---------

Co-authored-by: Danny Avila <danny@librechat.ai>

packages/api/src/utils/sanitizeTitle.spec.ts

@@ -60,8 +60,7 @@ describe('sanitizeTitle', () => {
     });
 
     it('should handle multiple attributes', () => {
-      const input =
-        '<think reason="test" type="deep" id="1">reasoning</think> Title';
+      const input = '<think reason="test" type="deep" id="1">reasoning</think> Title';
       expect(sanitizeTitle(input)).toBe('Title');
     });
 
@@ -170,8 +169,7 @@ describe('sanitizeTitle', () => {
     });
 
     it('should handle real-world with attributes', () => {
-      const input =
-        '<think reasoning="multi-step">\nStep 1\nStep 2\n</think> Project Status';
+      const input = '<think reasoning="multi-step">\nStep 1\nStep 2\n</think> Project Status';
       expect(sanitizeTitle(input)).toBe('Project Status');
     });
   });