When you visit the Google’s chatbot bard’s website in Microsoft Bing. A New Button pops up besides the search bar which lets you compare bard results with Bing chat’s. I have no idea why they implemented this, well maybe to show off the their chatbot is better than bard or something?
It’s not very far away from injecting it into a webpage though. I feel like at this point it wouldn’t make any difference. Except on a meta level.
Just wait until they open a little popup or sidebar with bing search results every time you search on Google, DuckDuckGo or whatever competitor.