A lot of a foals' personality and capability, excluding physical features like height, comes from how they are raised and trained, not what breed they are, there are tonnes of different breeds suited to eventing, from warmbloods and sporthorses to welsh cobs and thoroughbreds.
You probably don't want to hear this, but because of this I must say I tend to disagree with breeding for the sake of breeding - why do you even want to go to the trouble of breeding a foal in the first place when there are tonnes of unwanted foals and young horses out there, or even trained adults in need of a loving home. That way, you have the chance to select a foal or a youngster or even an adult suited for your purpose. Even buying a fully trained eventer is likely to cost less than buying a quality broodmare and paying stud fees, an you have FAR more guarantee - breeding good quality horses doesn't guarantee a good quality foal. As you are quite new to eventing, what if you unknowingly make a bad breeding decision and end up with a foal you don't want, which will inevitably end up on the market, or at least only living half the life it deserves.
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