If you enabled it in step 4 of the livestream creation, the chat appears by default as an interactive user interface in the player that your viewers see. However, you can also use the chat outside this player and embed it on your website, for example.
To do so, go to the right stream via LIVESTREAMS and scroll down to the player settings. In the tab "HTML Snippet" you have to uncheck "Include Chat Overlay into Player", then the HTML code for the chat will appear below.
You can now simply copy this "Chat Snippet" and paste it into the source code of the desired web page. It will then appear there and will be available as an interaction area in the same way as in the player before.
By the way, the chat will still be displayed in the player, so you can use it directly in the livestream as well as externally.