Rather than surgical regulation, which as you rightly point out is often prone to capture, I would instead propose a cruder but effective governing instrument:

Rather than surgical regulation, which as you rightly point out is often prone to capture, I would instead propose a cruder but effective governing instrument: the Pigovian tax Trace the chain of incentivizes further upstream, and what do we find? What animates the system? It’s advertising revenue, of course. So let’s tax the living hell out of advertising revenue. Fundamentally decreasing the profitability of a market is a sure way to disincentivize profiteering interests in it.