When the holy spirit impregnated Mary no paternal DNA was passed a fact that seems to be confirmed by the statement that "Jesus had to be of the house of David "according to the flesh", which could only be via his mother Mary"
Now, if Jesus got all his DNA from his mother He had to be a cloned organism, a copy of his mother.
But he was not, meaning that the holy spirit had to have a male chromosome and therefore could not be only spirit. Maybe, after all, the hole spirit is half spirit and half flesh.