Importantly: OpenAI doesn't need to outcompete Google, it just needs to show it can bleed.
As to the rest of Google's dominant position, it's an advantage for sure, but every leading vendor whose products turned to shit went the way of the dodo one way or another.
And it's important to mention that this includes GAds, not just the loss leader (Search). They have been so good at squeezing advertisers dry that ROI is barely there in many categories.