If you generate a summary via the browser extension, you get it in a small pop-up window. There's a "Copy summary" button at the end, but no "Discuss further", so if I happen to want to discuss it, I must open the standalone summarizer page, copy/paste the link, generate the summary again, and only then I'm able to press "Discuss further".
Speaking of which, it's unfortunate that it takes me to a new, empty page with the summary now gone, losing my cue points to the things I meant to ask about, as it often makes me ask for a summary for the third time, wasting your compute unnecessarily.
The ideal solution would of course be to have the chat right under the summary itself on the same page, whether it's the summarizer page or the pop-up window, but I suspect there's a technical reason why it isn't this way - it's so obviously the best UX I can't be the first to suggest it.
