It's an American gaited horse. Never seen one out here. I just had a look at YouTube and there are plenty of examples of people doing lower level with them, except for this video, which looks like PSG. It's all right. Still doesn't look like it has the carrying power behind of warmbloods.
If you're after a "non-traditional" breed for your FEI dressage, that's fantastic, but you'll have to look hard and get lucky. Because I like an easy life, I'd buy an Iberian if that's what I wanted to do.