I like the fact that, when the Assistant has web access, my Kagi Search lenses and personalized results are applied to the Assistant searches. Since I perform a lot of searches now from/within the Assistant, I wish I could rank/pin/block websites (which the Assistant references as sources for an answer) directly in the Assistant. Those rankings should then also be applied to my Kagi Search personalisation settings.
If the referenced websites are shown as a numbered list (ideally with hyperlinks) at the end of an answer, there could be a button next to each website just like in Kagi Search where users can tell Kagi / the Assistant how to treat this domain in future searches/answers.