Chat is disappearing when we navigate from one community page to another community page

Hi All,

We have a requirement to implement Live chat on our Experience site. We are using Embedded Service Deployment for implementing the live chat functionality.
We are facing one issue like when we start chatting with the live Agent on one community page and navigating to another community page the chat is disappearing on the other community page and the user can not able to chat with the agent.

Did anyone faced the same issue. and resolved the issue please help me with this requirement.