This thread is resolved. Here is a description of the problem and solution.
Problem: Website only redirects to Browser Language once
Solution: WPML will do this language redirect only once and then not redirect anymore. We do this to allow visitors to still switch languages. If we always push back to the browser’s language, visitors will not be able to manually switch languages after WPML redirects them to the language set by their browser.
This single-time redirect operation resets every 24 hours (which you can change too).
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