WebChatGPT extension replaces the chat with this name "WebChatGPT" with the new search

[raulblanko]

Looks like WebChatGPT extension replaces the chat with this name "WebChatGPT" with the new search.
It means that all the conversation made in the chat with previous search results, all follow-up questions and answers, were gone after the next search was made.

It is very uncomfortable behavior.

Is it possible to add the option for saving the history of all search chats as the new ones and do not replace or remove anything?