[Waiting for user feedback] Advanced Translation Editor / REST API POST request blocked or overwritten

Background of the issue:
I am using WPML's Advanced Translation Editor, but all attempts to post translation jobs via the REST API are failing. We suspect the POST request to hidden link is either being blocked or overwritten by our caching or security layers (e.g., LiteSpeed Cache). We need to know the correct way to override or re-enable the WPML REST API POST route, including how to correctly pass nonce/auth if needed, and how to ensure LiteSpeed or other plugins do not interfere. We reviewed WPML REST API and ATE docs but did not find any detailed guidance on overriding or restoring the POST endpoint functionality when it's blocked by cache or nonce issues. If specific developer hooks or filters exist to extend WPML's REST logic safely, we’d appreciate documentation on that.

Symptoms:
We are receiving an error: { "code": "rest_cookie_invalid_nonce", "message": "Cookie check failed", "data": { "status": 403 } } Additionally, we are getting logs like this in the WPML ATE error logs: ATE Server Communication - Service Unavailable.

Questions:
How can we override or re-enable the WPML REST API POST route?
How do we correctly pass nonce/auth if needed?
How can we ensure LiteSpeed or other plugins do not interfere with the WPML REST API?
What endpoint structure must remain available?