Couer D’Amour is a Hanoverian. That’s where he’s registered.
He’s apparently approved for breeding with both the Hanoverian, and Oldenberg (unclear if it’s GOV, or Oldenburg NA)
Yes, you can have her inspected with an eye towards breeding approval, but if her dam isn’t approved for breeding anywhere, then she is limited in what books in what registries she can get into, and they’re going to be low level books most likely.
Does the dam at least have JC papers?
Yes, I was talking conformation Foals have very narrow chests, front legs practically coming out of the same hole. As the chest widens, the legs rotate inward from the chest. So foal legs BETTER be turned out from the chest, but straight when you look at them from that side-ish view. As the chest widens, the legs then start rotating inward to be (hopefully) pointing straight forward as an adult
And yes, 24x7 turnout is by FAR best for growing horses. It’s not just about muscles and ligaments and tendons, it’s what allows the strongest feet to develop. Feet develop for about 5 years. They need full time movement, on as varied terrain as you can manage.