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If potential antitrust case againts Google search would be valid, could it be mitigated with Google making google search as a platform?

For example another company could run google search on example.com and give let's say percentage of that revenue back to Google?

They've offered that for a long time, e.g. Startpage, Mullvad Leta, and Kagi are supposedly using that API.

The pricing isn't public AFAIK, but a revshare like you suggest seems unlikely.