I see the little orange chat icon at the bottom right of the viewport show up. If I click decline in your cookie dialog, that chat icon disappears. If I click accept, it stays. This seems to happen whether I have adblocking on or off.
Also, if I click the chat icon, it opens a welcome box at the top right where a chat can be started. I can do that before choosing in the cookie dialog whether adblocking is on or off.
Maybe a video demonstrating the issue would help in this case.