If you need to exclude specific URIs from being cached by LiteSpeed Cache in WordPress, follow these easy steps:
Log in to your WordPress dashboard.
Navigate to LiteSpeed Cache ➡️ Cache.
Click on the "[4] Excludes" tab.
Find the "Do Not Cache URIs" section.
Enter nytsys.min.js to exclude from caching.
Click "Save Changes" to apply your configuration.
Navigate to the Page Optimization section.
Go to the Tuning tab.
Add nytsys.min.js to the following fields:
JS Excludes
JS Deferred/Delayed Excludes
To clear the cache, hover over the LiteSpeed icon in the admin bar.
Click "Purge All".

You're all set! The specified JS snippet will now be excluded from caching, so they should work correctly on your site.