The podcast search feature would be improved for me, if you could select an option "find more sources". This would list all the sources of that episode that Kagi knows about.
For example, this search for Adam Buxton, the episodes all link to Apple Podcasts, which I do not and will never have an account for. Adam Buxton's primary podcast provider is Acast, but you could also of course find his podcast on Spotify.
I think it makes most sense to copy the design language from the main search page. As shown. This would open up a new search page, or perhaps some kind of popup/modal listing more websites carrying that episode of the podcast.
To save unnecessary requests to the Kagi database, you might also have the ability for the user to prefer particular podcasts providers, pehaps keep it simple like "prefer this podcast source" rather than the full ranking categories of the main search page? I could easily use that to prefer Acast and Spotify over Apple.
To facilitate all this, the results listing from a podcast search should also display the URL or name of the source that the result will take you to when you click. Currently there is no way to know where you will end up (unless you mouse over the link and have that option enabled in your browser).