Indeed, neutral pions usually decay into gamma rays according to the following reaction:
"\\pi^0\\rightarrow2\\gamma."
The decay into three "gamma photons" is forbidden by the C-symmetry: The intrinsic C-parity of a neutral pion is +1, the C-parity of a system that consists of n photons is (-1)n, which means that odd number of photons results in asymmetry.
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