That’s revenue, not profit. I don’t have profit numbers but I’ve heard that YouTube is extremely expensive to run.

Google doesn't release net income numbers by business unit but in 2021 revenue for search was around $148B and Youtube revenue was around $29B. Given that youtube revenue dollars are probably much more expensive than search revenue dollars I'd say that ratio will skew toward more of the profit being in the search category than the you tube category, not less. It does seem on balance to be a relatively small part of their business dollars-wise, although I'd make the case that the cultural relevancy that youtube gives google has a non-zero value.