OP is demonstrating that the product follows prompts from the pages it visits, not just from it's owner in the UI that controls it.
To be fair, this is a beta product and is likely ridden with bugs. I think OP is trying to make a point that LLM powered applications can be potentially tricked into behaving in ways that are unintended, and the "bug fixes" may be a constant catch up game for developers fighting an infinite pool of edge cases.