Thanks to the CPRA (recent legislation, it only took effect at the start of this year), most companies must delete everything they know about you when asked to do so.
There are now companies that will automatically submit those requests on your behalf.
So.
When you're ready to stop the flow, check out services like Incogni. They'll submit requests to data brokers on your behalf automatically.
You'll want to keep it up for awhile, because one of the things that gets deleted (by law) is the record that you requested your data be deleted. (They have to delete everything with your info in it) So any new data with your name on it is fair game.
But if you slow the flow of traceable data, then sign up with a data removal service, you stand a solid chance of getting yourself off the advertiser's radars.