Pimienta Thank you and welcome! I've read the paper and referenced articles and glad to see similar ideas to ours being produced totally independently on the other side of the globe.
However I am quite frustrated by your decision to reduce the results to a quite small number of selected webpages.
This decision is based on economic factors primarly. Every 'page' of results costs extra money to produce. So we have to run a careful balance to be able to offer unlimited search for as low as $10/mo.
Note also that a typical page of results in Kagi will have an average of 30-40 results, so a Kagi user will see 3-4 'pages' of Google results by default in a single Kagi search.
Finally, our goal is to show what the user searches for in top 3 results so they spend the least possible time on Kagi. If what they search for is not in the first page on Kagi then a better next step would likely be to tweak the query.