If you disagree with an outcome, the best next step is not to start the whole story again from zero. Instead, explain exactly which part of the result you disagree with and why. If you have new evidence, identify it clearly.
A good challenge is specific, respectful, and organised. The strongest follow-up messages focus on facts, missing evidence, or a point that may have been misunderstood.
If there is a higher or more formal route available, use it in a structured way rather than multiplying channels.