I love the companions feature, but I almost exclusively search from the address bar of my browser, so I'm wondering if it would be possible to show companions next to the logo on search result pages?
This might even go along with the request to add companions in the mobile app, since it would probably involve some similar downsizing if it's being shown next to the smaller logo.
Basically, something like this, or maybe even beneath the Kagi logo to make better use of space (just a crude mockup):

Once setting a companion, a user would see it not just on the Kagi homepage, but on all their search results pages as well.