I'm surprised they advertise their own product in those places... It's such an obvious thing for the EU to go after. "Google has a monopoly position in Browsers/Search, and (ab)used their homepage to advertise their entry into a new field of business, immediately giving it free advertising the competitors could never access."

If I were Googles legal team, I would immediately put an end to such cross-product advertising (at least from Search/Chrome/Android).