The growth doesn't need to be from Search. Even with the current level of search growth, Google's total revenue is up 25% year on year, operating income is up 30% year on year.
You are wrong. Search is already profitable. It doesn't need to become more profitable. The profits can simply be used to improve the profitability of other offerings like Google Cloud.
The growth doesn't need to be from Search. Even with the current level of search growth, Google's total revenue is up 25% year on year, operating income is up 30% year on year.