So I finally bought a new one because I don't have the dimension. It measures exactly 8cm, or basically when the engine is off the servo arm pushes the swirl flap level all the way through.
I'm not too convinced that the new arm will hold in place. It seems to be quite loose at the flap end connection (just like Stephen2015 mentioned). I doubt it will last long. If it falls apart again, I will use some piano wire as a substitute or the heat gun method.
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