Not able to add to cart via CoCart API through Gravity nested form webhook

I’m not able to add to cart via CoCart api through Gravity nested form webhook. In logged in user I’m getting success response from api when webhook trigger but cart was empty every time.

Please check screenshot : https://uploadnow.io/files/QBdyDVB

Getting woocommerce error log from cocart

2023-04-11T05:34:31+00:00 DEBUG 
====CoCart Lite Version: 3.8.1====
====Start Log April 11, 2023 @ 1:34 am====
cocart_return_empty_cart is deprecated since version 3.0.0! Use cocart_empty_cart instead. But only if you are using API v2.
====End Log====


2023-04-11T05:34:31+00:00 DEBUG 
====CoCart Lite Version: 3.8.1====
====Start Log April 11, 2023 @ 1:34 am====
cocart_ok_to_add_response is deprecated since version 3.0.0 with no alternative available. This filter is no longer used in the API.
====End Log====


2023-04-11T05:34:31+00:00 DEBUG 
====CoCart Lite Version: 3.8.1====
====Start Log April 11, 2023 @ 1:34 am====
cocart_ok_to_add is deprecated since version 3.0.0 with no alternative available. This filter is no longer used in the API.
====End Log====

Let me know what is the issue.