if you build a slight convexity into the flatback - maybe only 4-6mm over the entire width, the break becomes very rigid and strong. After bending the break, I re-cut the kerf to give it straight sides then glue in a fillet of wood. so i dont think in this case a brace is necessary at that point. i would rather save weight and brace further down to give the back its convexity.
however if the break is old, damaged or frail, then a brace there is an obvious choice.
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