How do you actually stop a dog from pulling on the leash?

Bramble is six years old. Six. And he still pulls like an absolute train if he clocks a rabbit or another dog ahead on the trail. Most of the time he's brilliant on lead, genuinely. But when something triggers him it's like I don't exist.

We've done: stop-and-stand, change direction, treat luring, wouldn't-it-be-lovely loose lead walking classes two years back. All fine until they're not.

I think it's the sighthound thing. The prey drive just overrides everything. Or maybe I've just been inconsistent, probably that too.

For what it's worth I've tried a Halti and he hated it, and a Ruffwear Front Range harness which I like but doesn't actually stop the pulling, just distributes it more politely onto my shoulder.

Anyone cracked this with a high-prey-drive dog specifically? Not looking for miracle cures, just whether anyone's found something that actually moved the needle a bit.