What causes a redirect loop while trying to access wp-admin, when it is functioning as a subdirectory to another CMS system?

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There are a few possible reasons for a redirect loop while trying to access wp-admin as a subdirectory to another CMS system:

1. Incorrect configuration in the .htaccess file - The .htaccess file is used to set rules for the web server. If the file is misconfigured, it can cause a redirect loop.

2. Conflict between CMS systems - If the two CMS systems are trying to use the same URL structure or URLs, it can cause a conflict that results in a redirect loop.

3. Incorrect WordPress settings - If WordPress is not configured to run as a subdirectory, it can cause a redirect loop.

4. Incorrect server settings - If the server is not configured to handle subdirectories, it can also cause a redirect loop.

To troubleshoot the issue, it's best to check the .htaccess file, make sure WordPress is correctly configured as a subdirectory, and check the server settings.