Safek mamzer is muttar.
The reason I think there is no such thing as a kohen mamzer is because the woman becomes a zonah since she is assur to the kohen (as per S”A E”H 6-8) so the child is a chalal.
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Safek mamzer is muttar.
The reason I think there is no such thing as a kohen mamzer is because the woman becomes a zonah since she is assur to the kohen (as per S”A E”H 6-8) so the child is a chalal.