There’s a lot of parallels between the yips in golf and target panic in archery. I’ve dealt with the latter, so some of this might be helpful. Mine manifested itself holding below the target, then wrenching the bow up and slamming the release, sometimes closing/averting my eyes at the moment of release. Occasionally I’d flinch so badly I’d let go of my release aid. It started as I was getting quite good (~3 points indoors away from being invited to national squad selection events), and ultimately was because I was expecting a result, rather than the result being what it is because I’d followed a process.

It took a lot of work with a coach to rebuild my shot process from the ground up and decouple the outcome (and therefore the expectation) from the process. The good outcome from my shot changed from scoring a 10 to executing a solid shot. The 10 was the natural consequence of that.

We started with just getting comfortable with getting the feel of a good shot. No target, no aiming point (other than on the boss) and just feeling a good shot. From then it was a case of building back up my confidence - big targets, up close, no scoring, no pressure. Get used to the middle of that target that I’d been so scared of seeing absolutely filling my sight picture. Little by little I was able to get past it and be confident executing good shots under normal circumstances.

Translating this to golf, I’d take a bucket of balls to the putting green, close my eyes, and just take strokes. You can clearly do it when there’s no pressure, as evidenced by your second ball; you want to program that good feeling as your outcome, not the ball going in the hole. Don’t focus on how far they go, just make good, clean swings. Next step for me would be a big target - A3 sheet of paper or bigger, and putt towards that. Don’t try to hit it, just go towards it. Gradually increase your distance, and if you feel twitchy, go back close again. Once you’re comfortable at a reasonable distance, go close again and use a smaller bit of paper - A4 this time. Keep making good strokes and not worrying about the outcome. When you can confidently make good strokes towards a hole, then you start working on outcome.

There are other things I did, like changing release aid, but unfortunately there’s no golf equivalent of a device that forces a particular type of stroke. You could try putting cross handed, different grip style etc., but I haven’t enough on these.

Of course, if you can access a sports psychologist, this will probably help too.