Fix WP Admin Redirect to new setup

My WordPress site is currently hosted on shared hosting. After a server migration, I'm facing a redirect loop issue with the WP admin area.

Requirements:
- Fix the redirect loop to restore access to WP admin.
- Ensure that the site functions correctly post-fix, with no additional issues introduced.

Ideal Skills and Experience:
- Strong expertise in WordPress and server management.
- Experience with shared hosting environments.
- Familiarity with troubleshooting redirect issues.

Please provide a solution to resolve this issue efficiently.